Fellner, Markus; Jüngel, Ansgar Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites. (English) Zbl 07804839 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113494, 15 p. (2024). MSC: 35K51 35K61 35K65 92C20 PDFBibTeX XMLCite \textit{M. Fellner} and \textit{A. Jüngel}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113494, 15 p. (2024; Zbl 07804839) Full Text: DOI arXiv
Le, Minh Global existence of solutions in some chemotaxis systems with sub-logistic source under nonlinear Neumann boundary conditions in 2d. (English) Zbl 07804836 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113491, 12 p. (2024). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{M. Le}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 241, Article ID 113491, 12 p. (2024; Zbl 07804836) Full Text: DOI
Hu, Weiwei Global regularity and stability analysis of the Patlak-Keller-Segel system with flow advection in a bounded domain: a semigroup approach. (English) Zbl 1518.35100 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 234, Article ID 113319, 15 p. (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{W. Hu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 234, Article ID 113319, 15 p. (2023; Zbl 1518.35100) Full Text: DOI
Song, Xu; Li, Jingyu Convergence rate of solutions towards spiky steady state for the Keller-Segel system with logarithmic sensitivity. (English) Zbl 1516.35428 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113284, 25 p. (2023). MSC: 35Q92 35K57 35B40 92C17 41A25 PDFBibTeX XMLCite \textit{X. Song} and \textit{J. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 232, Article ID 113284, 25 p. (2023; Zbl 1516.35428) Full Text: DOI
Jiang, Chao; Lei, Yuzhu; Liu, Zuhan; Zhang, Weiyi Spreading speed in a fractional attraction-repulsion chemotaxis system with logistic source. (English) Zbl 1510.35056 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113232, 38 p. (2023). MSC: 35B40 35C07 35K20 35K59 35R11 92C17 PDFBibTeX XMLCite \textit{C. Jiang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113232, 38 p. (2023; Zbl 1510.35056) Full Text: DOI
Marinoschi, Gabriela A semigroup approach to a reaction-diffusion system with cross-diffusion. (English) Zbl 1510.35136 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113222, 29 p. (2023). MSC: 35K51 35K57 35K61 47H04 47H06 47H20 92C17 PDFBibTeX XMLCite \textit{G. Marinoschi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113222, 29 p. (2023; Zbl 1510.35136) Full Text: DOI
Granero-Belinchón, Rafael A nonlocal model describing tumor angiogenesis. (English) Zbl 1503.35237 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113180, 15 p. (2023). MSC: 35Q92 92C17 92C37 35B44 35A01 35A02 92-08 PDFBibTeX XMLCite \textit{R. Granero-Belinchón}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 227, Article ID 113180, 15 p. (2023; Zbl 1503.35237) Full Text: DOI arXiv
Desvillettes, Laurent; Laurençot, Philippe; Trescases, Ariane; Winkler, Michael Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing. (English) Zbl 1501.35057 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113153, 26 p. (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{L. Desvillettes} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 226, Article ID 113153, 26 p. (2023; Zbl 1501.35057) Full Text: DOI arXiv
Yang, Lan; Yang, Xujie Global existence in a two-dimensional nonlinear diffusion model for urban crime propagation. (English) Zbl 1496.35229 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113086, 32 p. (2022). MSC: 35K51 35K59 35Q91 92C17 PDFBibTeX XMLCite \textit{L. Yang} and \textit{X. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113086, 32 p. (2022; Zbl 1496.35229) Full Text: DOI
Ahn, Jaewook; Choi, Sun-Ho; Yoo, Minha Global classical solvability in a food metric chemotaxis system under zero boundary conditions at infinity. (English) Zbl 1498.92031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113083, 22 p. (2022). MSC: 92C17 92C70 35Q92 PDFBibTeX XMLCite \textit{J. Ahn} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 224, Article ID 113083, 22 p. (2022; Zbl 1498.92031) Full Text: DOI
Fujie, Kentaro; Senba, Takasi Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions. (English) Zbl 1491.35066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112987, 7 p. (2022). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{K. Fujie} and \textit{T. Senba}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112987, 7 p. (2022; Zbl 1491.35066) Full Text: DOI arXiv
Wang, Jianping Global existence and stabilization in a forager-exploiter model with general logistic sources. (English) Zbl 1491.35054 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112985, 22 p. (2022). MSC: 35B40 35A09 35K51 35K57 92C17 PDFBibTeX XMLCite \textit{J. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112985, 22 p. (2022; Zbl 1491.35054) Full Text: DOI arXiv
Zhang, Wenji; Liu, Suying Large time behavior in a quasilinear chemotaxis model with indirect signal absorption. (English) Zbl 1491.35057 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112963, 14 p. (2022). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{W. Zhang} and \textit{S. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 222, Article ID 112963, 14 p. (2022; Zbl 1491.35057) Full Text: DOI
Lei, Yuzhu; Liu, Zuhan; Zhou, Ling Existence and global asymptotic stability in a fractional double parabolic chemotaxis system with logistic source. (English) Zbl 1483.35031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112750, 21 p. (2022). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Lei} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112750, 21 p. (2022; Zbl 1483.35031) Full Text: DOI
Chen, Qionglei; Hao, Xiaonan Local and some type of large solutions for the chemotaxis-fluid equations with partial dissipation. (English) Zbl 1483.35004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112746, 19 p. (2022). MSC: 35A01 35A02 35K51 35K59 35Q35 92C17 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{X. Hao}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112746, 19 p. (2022; Zbl 1483.35004) Full Text: DOI
Lyu, Wenbin Asymptotic stabilization for a class of chemotaxis-consumption systems with generalized logistic source. (English) Zbl 1483.35036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112737, 19 p. (2022). MSC: 35B40 35B35 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{W. Lyu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 217, Article ID 112737, 19 p. (2022; Zbl 1483.35036) Full Text: DOI
Negreanu, M.; Tello, J. I.; Vargas, A. M. On a fully parabolic chemotaxis system with nonlocal growth term. (English) Zbl 1479.35521 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112518, 21 p. (2021). Reviewer: Debabrata Karmakar (Bangalore) MSC: 35K51 35B40 92C17 35B35 35K59 PDFBibTeX XMLCite \textit{M. Negreanu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112518, 21 p. (2021; Zbl 1479.35521) Full Text: DOI
Frassu, Silvia; Viglialoro, Giuseppe Boundedness in a chemotaxis system with consumed chemoattractant and produced chemorepellent. (English) Zbl 1473.35076 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112505, 16 p. (2021). MSC: 35B45 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{S. Frassu} and \textit{G. Viglialoro}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 213, Article ID 112505, 16 p. (2021; Zbl 1473.35076) Full Text: DOI arXiv
Chiyo, Yutaro; Marras, Monica; Tanaka, Yuya; Yokota, Tomomi Blow-up phenomena in a parabolic-elliptic-elliptic attraction-repulsion chemotaxis system with superlinear logistic degradation. (English) Zbl 1472.35061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112550, 14 p. (2021). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Chiyo} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112550, 14 p. (2021; Zbl 1472.35061) Full Text: DOI arXiv
Issa, T. B.; Salako, R. B.; Shen, W. Traveling wave solutions for two species competitive chemotaxis systems. (English) Zbl 1472.35087 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112480, 25 p. (2021). MSC: 35C07 35B35 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{T. B. Issa} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 212, Article ID 112480, 25 p. (2021; Zbl 1472.35087) Full Text: DOI arXiv
Adimy, Mostafa; Amster, Pablo; Epstein, Julián Periodic solutions for a nonautonomous mathematical model of hematopoietic stem cell dynamics. (English) Zbl 1483.34114 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112397, 18 p. (2021). Reviewer: Jiří Šremr (Brno) MSC: 34K60 34K13 92C37 37C60 47N20 PDFBibTeX XMLCite \textit{M. Adimy} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 211, Article ID 112397, 18 p. (2021; Zbl 1483.34114) Full Text: DOI arXiv
Tao, Youshan; Winkler, Michael The dampening role of large repulsive convection in a chemotaxis system modeling tumor angiogenesis. (English) Zbl 1465.35378 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112324, 16 p. (2021). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35K55 92C17 PDFBibTeX XMLCite \textit{Y. Tao} and \textit{M. Winkler}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 208, Article ID 112324, 16 p. (2021; Zbl 1465.35378) Full Text: DOI
Calvez, Vincent; Carrillo, José Antonio; Hoffmann, Franca Uniqueness of stationary states for singular Keller-Segel type models. (English) Zbl 1458.35004 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 205, Article ID 112222, 25 p. (2021). MSC: 35A02 92C17 35B38 35B40 26D10 35J62 PDFBibTeX XMLCite \textit{V. Calvez} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 205, Article ID 112222, 25 p. (2021; Zbl 1458.35004) Full Text: DOI arXiv
Tu, Xinyu; Mu, Chunlai; Qiu, Shuyan Boundedness and convergence of constant equilibria in a two-species chemotaxis-competition system with loop. (English) Zbl 1443.35055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111923, 18 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35K40 35Q92 35K55 35B40 92C17 PDFBibTeX XMLCite \textit{X. Tu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111923, 18 p. (2020; Zbl 1443.35055) Full Text: DOI
Tao, Youshan; Winkler, Michael A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. (English) Zbl 1442.35480 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111870, 16 p. (2020). MSC: 35Q92 92C17 92C50 35B33 35B40 35K57 PDFBibTeX XMLCite \textit{Y. Tao} and \textit{M. Winkler}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111870, 16 p. (2020; Zbl 1442.35480) Full Text: DOI
Iwasaki, Satoru Asymptotic convergence of solutions of Keller-Segel equations in network shaped domains. (English) Zbl 1442.35033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111839, 27 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35B40 35R02 35Q92 35K90 92C17 PDFBibTeX XMLCite \textit{S. Iwasaki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 197, Article ID 111839, 27 p. (2020; Zbl 1442.35033) Full Text: DOI
Chen, Lili; Liu, Xin; Zhao, Yanfeng Exponential stability of a class of nonlinear systems via fixed point theory. (English) Zbl 1445.93019 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111784, 18 p. (2020). MSC: 93C42 35R11 92C42 34K20 47H10 PDFBibTeX XMLCite \textit{L. Chen} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111784, 18 p. (2020; Zbl 1445.93019) Full Text: DOI
Nie, Yao; Yuan, Jia Well-posedness and ill-posedness of a multidimensional chemotaxis system in the critical Besov spaces. (English) Zbl 1442.35006 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111782, 17 p. (2020). Reviewer: Neng Zhu (Nanchang) MSC: 35A01 35A02 35G55 35Q92 92C17 PDFBibTeX XMLCite \textit{Y. Nie} and \textit{J. Yuan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 196, Article ID 111782, 17 p. (2020; Zbl 1442.35006) Full Text: DOI
Jüngel, Ansgar; Leingang, Oliver; Wang, Shu Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion. (English) Zbl 1439.35030 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111698, 21 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35B25 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{A. Jüngel} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 192, Article ID 111698, 21 p. (2020; Zbl 1439.35030) Full Text: DOI arXiv
Acerbi, Emilio; Chen, Chao-Nien; Choi, Yung-Sze Minimal lamellar structures in a periodic FitzHugh-Nagumo system. (English) Zbl 1436.49008 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 194, Article ID 111436, 13 p. (2020). MSC: 49J40 33C10 92C15 35K57 PDFBibTeX XMLCite \textit{E. Acerbi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 194, Article ID 111436, 13 p. (2020; Zbl 1436.49008) Full Text: DOI
Marras, Monica; Nishino, Teruto; Viglialoro, Giuseppe A refined criterion and lower bounds for the blow-up time in a parabolic-elliptic chemotaxis system with nonlinear diffusion. (English) Zbl 1437.35674 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111725, 15 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B44 35K55 92C17 PDFBibTeX XMLCite \textit{M. Marras} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 195, Article ID 111725, 15 p. (2020; Zbl 1437.35674) Full Text: DOI arXiv
Nagai, Toshitaka; Yamada, Tetsuya Global existence of solutions to a two dimensional attraction-repulsion chemotaxis system in the attractive dominant case with critical mass. (English) Zbl 1435.35394 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111615, 25 p. (2020). Reviewer: Piotr Biler (Wrocław) MSC: 35Q92 35B40 92C17 35K55 PDFBibTeX XMLCite \textit{T. Nagai} and \textit{T. Yamada}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 190, Article ID 111615, 25 p. (2020; Zbl 1435.35394) Full Text: DOI
Zhang, Weiyi; Liu, Zuhan; Zhou, Ling Global existence and asymptotic behavior of classical solutions to a fractional logistic Keller-Segel system. (English) Zbl 1425.35080 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111624, 34 p. (2019). MSC: 35K51 35R11 35Q92 92C17 35B44 35A01 35B40 PDFBibTeX XMLCite \textit{W. Zhang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111624, 34 p. (2019; Zbl 1425.35080) Full Text: DOI
He, Shuhui; Wheeler, Glen; Wheeler, Valentina-Mira On a curvature flow model for embryonic epidermal wound healing. (English) Zbl 1429.53075 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111581, 41 p. (2019). MSC: 53C42 53E99 58J35 35Q92 92C45 PDFBibTeX XMLCite \textit{S. He} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111581, 41 p. (2019; Zbl 1429.53075) Full Text: DOI arXiv
Conti, Monica; Gatti, Stefania; Miranville, Alain Mathematical analysis of a model for proliferative-to-invasive transition of hypoxic glioma cells. (English) Zbl 1434.35253 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111572, 17 p. (2019). MSC: 35Q92 92C37 35B50 35D30 92C50 35B09 PDFBibTeX XMLCite \textit{M. Conti} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 189, Article ID 111572, 17 p. (2019; Zbl 1434.35253) Full Text: DOI
Wang, Zhigang Existence results for chemotaxis-shallow water system with degenerate viscosity coefficients and initial vacuum. (English) Zbl 1427.35213 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 188, 265-293 (2019). MSC: 35Q35 35Q92 76N10 92C17 35M10 35Q30 35B65 35B44 76R50 PDFBibTeX XMLCite \textit{Z. Wang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 188, 265--293 (2019; Zbl 1427.35213) Full Text: DOI
Fencl, Martin; Kučera, Milan Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability. (English) Zbl 1420.35126 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 187, 71-92 (2019). MSC: 35K57 35B32 35J57 35J50 92C15 PDFBibTeX XMLCite \textit{M. Fencl} and \textit{M. Kučera}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 187, 71--92 (2019; Zbl 1420.35126) Full Text: DOI arXiv
Zhu, Shanshan; Liu, Zuhan; Zhou, Ling Global existence and asymptotic stability of the fractional chemotaxis-fluid system in \(\mathbb{R}^3\). (English) Zbl 1420.35446 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 183, 149-190 (2019). MSC: 35Q92 35A01 35Q30 35Q35 92C17 35R11 35B45 35B40 35B35 PDFBibTeX XMLCite \textit{S. Zhu} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 183, 149--190 (2019; Zbl 1420.35446) Full Text: DOI
Winkler, Michael Instantaneous regularization of distributions from \((C^0)^\star \times L^2\) in the one-dimensional parabolic Keller-Segel system. (English) Zbl 1428.35632 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 183, 102-116 (2019). MSC: 35Q92 35B65 92C17 35K55 35B40 35R06 PDFBibTeX XMLCite \textit{M. Winkler}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 183, 102--116 (2019; Zbl 1428.35632) Full Text: DOI
You, Bo; Li, Fang Optimal distributed control of the Cahn-Hilliard-Brinkman system with regular potential. (English) Zbl 1429.49009 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 182, 226-247 (2019). Reviewer: Hussain A. El-Saify (Beni Suef) MSC: 49J20 49J50 49K20 92C50 PDFBibTeX XMLCite \textit{B. You} and \textit{F. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 182, 226--247 (2019; Zbl 1429.49009) Full Text: DOI
Black, Tobias Global solvability of chemotaxis-fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions. (English) Zbl 1420.35433 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 129-153 (2019). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 35D30 35K55 35A01 35Q35 92C17 76S05 PDFBibTeX XMLCite \textit{T. Black}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 180, 129--153 (2019; Zbl 1420.35433) Full Text: DOI arXiv
Yan, Jianlu; Li, Yuxiang Global generalized solutions to a Keller-Segel system with nonlinear diffusion and singular sensitivity. (English) Zbl 1401.35170 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 176, 288-302 (2018). MSC: 35K55 35A01 35Q92 92C17 PDFBibTeX XMLCite \textit{J. Yan} and \textit{Y. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 176, 288--302 (2018; Zbl 1401.35170) Full Text: DOI
Bian, Shen; Chen, Li; Latos, Evangelos A. Nonlocal nonlinear reaction preventing blow-up in supercritical case of chemotaxis system. (English) Zbl 1483.35045 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 176, 178-191 (2018). MSC: 35B44 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{S. Bian} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 176, 178--191 (2018; Zbl 1483.35045) Full Text: DOI
Winkler, Michael; Yokota, Tomomi Stabilization in the logarithmic Keller-Segel system. (English) Zbl 1391.35066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 123-141 (2018). MSC: 35B40 35K65 92C17 35K51 PDFBibTeX XMLCite \textit{M. Winkler} and \textit{T. Yokota}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 170, 123--141 (2018; Zbl 1391.35066) Full Text: DOI
Vauchelet, Nicolas; Zatorska, Ewelina Incompressible limit of the Navier-Stokes model with a growth term. (English) Zbl 1370.35234 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 163, 34-59 (2017). MSC: 35Q35 76D05 35B40 92C50 PDFBibTeX XMLCite \textit{N. Vauchelet} and \textit{E. Zatorska}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 163, 34--59 (2017; Zbl 1370.35234) Full Text: DOI arXiv
Zeng, Yong Existence of global bounded classical solution to a quasilinear attraction-repulsion chemotaxis system with logistic source. (English) Zbl 1469.35114 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 161, 182-197 (2017). MSC: 35K51 35A01 35A09 35B40 35K59 92C17 PDFBibTeX XMLCite \textit{Y. Zeng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 161, 182--197 (2017; Zbl 1469.35114) Full Text: DOI
Cieślak, Tomasz; Winkler, Michael Stabilization in a higher-dimensional quasilinear Keller-Segel system with exponentially decaying diffusivity and subcritical sensitivity. (English) Zbl 1367.35033 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 129-144 (2017). MSC: 35B40 35B65 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{T. Cieślak} and \textit{M. Winkler}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 129--144 (2017; Zbl 1367.35033) Full Text: DOI
Calvez, V.; Carrillo, J. A.; Hoffmann, F. Equilibria of homogeneous functionals in the fair-competition regime. (English) Zbl 1373.35316 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 85-128 (2017). MSC: 35Q92 92C17 35C06 PDFBibTeX XMLCite \textit{V. Calvez} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 85--128 (2017; Zbl 1373.35316) Full Text: DOI arXiv
Anderson, Jeffrey R.; Deng, Keng A lower bound on the blow up time for solutions of a chemotaxis system with nonlinear chemotactic sensitivity. (English) Zbl 1367.35043 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 2-9 (2017). MSC: 35B44 35A01 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{J. R. Anderson} and \textit{K. Deng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 159, 2--9 (2017; Zbl 1367.35043) Full Text: DOI
Matzavinos, Anastasios; Ptashnyk, Mariya Stochastic homogenization of the Keller-Segel chemotaxis system. (English) Zbl 1381.35192 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 58-76 (2016). MSC: 35Q92 92C17 35B27 35K51 PDFBibTeX XMLCite \textit{A. Matzavinos} and \textit{M. Ptashnyk}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 144, 58--76 (2016; Zbl 1381.35192) Full Text: DOI arXiv
Al-Izeri, Abdul-Majeed; Latrach, Khalid On the solutions for a nonlinear boundary value problem modeling a proliferating cell population with inherited cycle length. (English) Zbl 1339.92021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 1-18 (2016). MSC: 92C37 92C99 34B15 45K05 PDFBibTeX XMLCite \textit{A.-M. Al-Izeri} and \textit{K. Latrach}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 143, 1--18 (2016; Zbl 1339.92021) Full Text: DOI
Kim, Sunghoon; Lee, Ki-Ahm Hölder regularity and uniqueness theorem on weak solutions to the degenerate Keller-Segel system. (English) Zbl 1386.35157 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 229-252 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35K45 35A02 35Q92 35K65 35K55 35B65 92C17 PDFBibTeX XMLCite \textit{S. Kim} and \textit{K.-A. Lee}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 229--252 (2016; Zbl 1386.35157) Full Text: DOI arXiv
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E. Free boundary problems for tumor growth: a viscosity solutions approach. (English) Zbl 1334.35360 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 207-228 (2016). MSC: 35Q92 35K55 35B25 35D40 92C50 76D27 PDFBibTeX XMLCite \textit{I. C. Kim} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 207--228 (2016; Zbl 1334.35360) Full Text: DOI arXiv
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias Notes on a PDE system for biological network formation. (English) Zbl 1334.35101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 127-155 (2016). MSC: 35K55 35B32 92C42 PDFBibTeX XMLCite \textit{J. Haskovec} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 138, 127--155 (2016; Zbl 1334.35101) Full Text: DOI arXiv
Benson, Neil; van der Graaf, Piet H.; Peletier, Lambertus A. Selecting optimal drug-intervention in a pathway involving receptor tyrosine kinases (RTKs). (English) Zbl 1334.34118 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 148-170 (2016). MSC: 34D15 34E13 92C42 92C45 PDFBibTeX XMLCite \textit{N. Benson} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 148--170 (2016; Zbl 1334.34118) Full Text: DOI
Chen, Shaohua Steady state solutions for a general activator-inhibitor model. (English) Zbl 1386.35080 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 84-96 (2016). MSC: 35J57 35J91 35K51 92C15 PDFBibTeX XMLCite \textit{S. Chen}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 84--96 (2016; Zbl 1386.35080) Full Text: DOI
Kang, Kyungkeun; Stevens, Angela Blowup and global solutions in a chemotaxis-growth system. (English) Zbl 1343.35045 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 57-72 (2016). MSC: 35B44 35A01 35Q92 92C17 PDFBibTeX XMLCite \textit{K. Kang} and \textit{A. Stevens}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 135, 57--72 (2016; Zbl 1343.35045) Full Text: DOI
Hong, Liang; Wang, Wei; Zheng, Sining Uniqueness of weak solutions to a high dimensional Keller-Segel equation with degenerate diffusion and nonlocal aggregation. (English) Zbl 1334.35102 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 134, 204-214 (2016). MSC: 35K55 35K65 92C17 35A02 35D30 35K57 PDFBibTeX XMLCite \textit{L. Hong} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 134, 204--214 (2016; Zbl 1334.35102) Full Text: DOI
Amar, M.; Andreucci, D.; Gianni, R. Exponential decay for a nonlinear model for electrical conduction in biological tissues. (English) Zbl 1327.35373 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 206-228 (2016). MSC: 35Q92 74L15 35B40 35B27 45K05 92C55 PDFBibTeX XMLCite \textit{M. Amar} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 131, 206--228 (2016; Zbl 1327.35373) Full Text: DOI Link
Bian, Shen A note on the free energy of the Keller-Segel model for subcritical and supercritical cases. (English) Zbl 1331.35061 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 406-422 (2015). MSC: 35B45 35J47 92C17 PDFBibTeX XMLCite \textit{S. Bian}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 125, 406--422 (2015; Zbl 1331.35061) Full Text: DOI
Yari, Masoud Transition of patterns in the cell-chemotaxis system with proliferation source. (English) Zbl 1418.34092 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 117, 124-132 (2015). MSC: 34C23 92C17 92C15 PDFBibTeX XMLCite \textit{M. Yari}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 117, 124--132 (2015; Zbl 1418.34092) Full Text: DOI
Hong, Liang; Wang, Wei; Zheng, Sining Global existence versus blow-up in a high dimensional Keller-Segel equation with degenerate diffusion and nonlocal aggregation. (English) Zbl 1323.35097 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 1-18 (2015). Reviewer: Christian Stinner (München) MSC: 35K65 92C17 35B44 35B45 PDFBibTeX XMLCite \textit{L. Hong} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 116, 1--18 (2015; Zbl 1323.35097) Full Text: DOI
Arioli, Gianni; Koch, Hans Existence and stability of traveling pulse solutions of the FitzHugh-Nagumo equation. (English) Zbl 1304.35181 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, Part A, 51-70 (2015). MSC: 35C07 35K57 35B25 92C20 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{H. Koch}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, 51--70 (2015; Zbl 1304.35181) Full Text: DOI
Li, Yan; Li, Yuxiang Finite-time blow-up in higher dimensional fully-parabolic chemotaxis system for two species. (English) Zbl 1297.35053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 72-84 (2014). MSC: 35B44 35B40 92C17 35B07 35K51 35K59 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Li}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 72--84 (2014; Zbl 1297.35053) Full Text: DOI
Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity. (English) Zbl 1297.35051 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 56-71 (2014). MSC: 35B44 35K59 35B35 35B45 92C17 PDFBibTeX XMLCite \textit{K. Fujie} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 109, 56--71 (2014; Zbl 1297.35051) Full Text: DOI
Shi, Renkun Green’s function of a chemotaxis model in the half space and its applications. (English) Zbl 1292.35081 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 106, 35-56 (2014). MSC: 35C15 92C17 35B40 PDFBibTeX XMLCite \textit{R. Shi}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 106, 35--56 (2014; Zbl 1292.35081) Full Text: DOI
Ma, Manjun; Hu, Jiajia; Tao, Jicheng; Tong, Changqing Non-existence of stationary pattern of a chemotaxis model with logistic growth. (English) Zbl 1288.35065 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 105, 3-9 (2014). MSC: 35B36 35K55 35K57 35K45 92C15 92C17 PDFBibTeX XMLCite \textit{M. Ma} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 105, 3--9 (2014; Zbl 1288.35065) Full Text: DOI
Deng, Chao; Villavert, John Ill-posedness of the two-dimensional Keller-Segel model in Triebel-Lizorkin spaces. (English) Zbl 1285.35128 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 38-49 (2014). MSC: 35R25 35K55 47J06 92C17 PDFBibTeX XMLCite \textit{C. Deng} and \textit{J. Villavert}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 95, 38--49 (2014; Zbl 1285.35128) Full Text: DOI
Ion, Anca Veronica; Georgescu, Raluca Mihaela Bautin bifurcation in a delay differential equation modeling leukemia. (English) Zbl 1282.37042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 82, 142-157 (2013). MSC: 37N25 37C75 65L03 37G05 37G15 92C50 PDFBibTeX XMLCite \textit{A. V. Ion} and \textit{R. M. Georgescu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 82, 142--157 (2013; Zbl 1282.37042) Full Text: DOI arXiv
Negreanu, Mihaela; Tello, J. Ignacio On a parabolic-elliptic chemotactic system with non-constant chemotactic sensitivity. (English) Zbl 1260.35238 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 80, 1-13 (2013). MSC: 35Q92 92C17 35M10 35B35 PDFBibTeX XMLCite \textit{M. Negreanu} and \textit{J. I. Tello}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 80, 1--13 (2013; Zbl 1260.35238) Full Text: DOI
Berezansky, Leonid; Braverman, Elena; Idels, Lev The Mackey-Glass model of respiratory dynamics: review and new results. (English) Zbl 1259.34080 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 16, 6034-6052 (2012). Reviewer: Meng Fan (Changchun) MSC: 34K60 92C50 34K11 34K20 34K25 PDFBibTeX XMLCite \textit{L. Berezansky} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 16, 6034--6052 (2012; Zbl 1259.34080) Full Text: DOI
Albuquerque de Araujo, Anderson Luis Periodic solutions for a nonautonomous ordinary differential equation. (English) Zbl 1242.34070 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2897-2903 (2012). MSC: 34C25 47H11 47H10 92C20 PDFBibTeX XMLCite \textit{A. L. Albuquerque de Araujo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 5, 2897--2903 (2012; Zbl 1242.34070) Full Text: DOI
Celiński, Rafał Asymptotic behaviour in a one dimensional model of interacting particles. (English) Zbl 1237.35083 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1972-1979 (2012). MSC: 35K15 35B40 92C17 PDFBibTeX XMLCite \textit{R. Celiński}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 4, 1972--1979 (2012; Zbl 1237.35083) Full Text: DOI arXiv
Xu, Shihe Qualitative analysis of a delayed free boundary problem for tumor growth under the effect of inhibitors. (English) Zbl 1219.35376 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3295-3304 (2011). MSC: 35R35 35B40 92C15 92C50 PDFBibTeX XMLCite \textit{S. Xu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 10, 3295--3304 (2011; Zbl 1219.35376) Full Text: DOI
Nakata, Yukihiko Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response. (English) Zbl 1227.34086 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 9, 2929-2940 (2011). Reviewer: Hong Zhang (Zhenjiang) MSC: 34K60 34K20 92C60 34K25 PDFBibTeX XMLCite \textit{Y. Nakata}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 9, 2929--2940 (2011; Zbl 1227.34086) Full Text: DOI
You, Yuncheng Dynamics of two-compartment Gray-Scott equations. (English) Zbl 1220.37075 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1969-1986 (2011). Reviewer: Hans Crauel (Frankfurt am Main) MSC: 37L30 35B40 35B41 35K55 35K57 80A32 92C45 92E20 PDFBibTeX XMLCite \textit{Y. You}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 5, 1969--1986 (2011; Zbl 1220.37075) Full Text: DOI
Gilbert, R. P.; Panchenko, Alexander; Vasilic, Ana Homogenizing the acoustics of cancellous bone with an interstitial non-Newtonian fluid. (English) Zbl 1372.76091 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1005-1018 (2011). MSC: 76Q05 76A05 76M50 76S05 74F10 74L15 92C10 92C55 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 4, 1005--1018 (2011; Zbl 1372.76091) Full Text: DOI
Nakaguchi, E.; Osaki, K. Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation. (English) Zbl 1206.35142 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 286-297 (2011). Reviewer: Jiaqi Mo (Wuhu) MSC: 35K51 35K93 92C17 PDFBibTeX XMLCite \textit{E. Nakaguchi} and \textit{K. Osaki}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 1, 286--297 (2011; Zbl 1206.35142) Full Text: DOI
Zhou, Wenshu Positive solutions for a diffusive Bazykin model in spatially heterogeneous environment. (English) Zbl 1192.35045 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 922-932 (2010). MSC: 35J57 35B25 92C40 35B09 35B40 35Q92 92D25 PDFBibTeX XMLCite \textit{W. Zhou}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 4, 922--932 (2010; Zbl 1192.35045) Full Text: DOI
Wrzosek, Dariusz Model of chemotaxis with threshold density and singular diffusion. (English) Zbl 1197.35068 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 338-349 (2010). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B60 35K67 92C17 35K51 35K59 PDFBibTeX XMLCite \textit{D. Wrzosek}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 2, 338--349 (2010; Zbl 1197.35068) Full Text: DOI
Zhai, Zhichun Global well-posedness for nonlocal fractional Keller-Segel systems in critical Besov spaces. (English) Zbl 1184.35154 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 6, 3173-3189 (2010). MSC: 35K45 35K58 35R11 92C17 35B45 PDFBibTeX XMLCite \textit{Z. Zhai}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 6, 3173--3189 (2010; Zbl 1184.35154) Full Text: DOI
Peng, Rui; Sun, Fuqin Turing pattern of the Oregonator model. (English) Zbl 1187.35263 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2337-2345 (2010). MSC: 35Q92 35J57 35B45 92C15 92C40 PDFBibTeX XMLCite \textit{R. Peng} and \textit{F. Sun}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2337--2345 (2010; Zbl 1187.35263) Full Text: DOI
Li, Lin; Liu, Zhicheng Global stability and Hopf bifurcation of a plankton model with time delay. (English) Zbl 1193.34171 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1737-1745 (2010). Reviewer: Eva Sanchez (Madrid) MSC: 34K60 34K18 34K20 92C80 PDFBibTeX XMLCite \textit{L. Li} and \textit{Z. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1737--1745 (2010; Zbl 1193.34171) Full Text: DOI
Delgado, Manuel; Gayte, Inmaculada; Morales-Rodrigo, Cristian; Suárez, Antonio An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary. (English) Zbl 1254.35127 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 330-347 (2010). MSC: 35K61 92C17 35B32 35B35 PDFBibTeX XMLCite \textit{M. Delgado} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 330--347 (2010; Zbl 1254.35127) Full Text: DOI Link
Liţcanu, Gabriela; Morales-Rodrigo, Cristian Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology. (English) Zbl 1230.35048 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 77-98 (2010). MSC: 35K51 35K58 35B30 35B40 35B45 92C17 PDFBibTeX XMLCite \textit{G. Liţcanu} and \textit{C. Morales-Rodrigo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 77--98 (2010; Zbl 1230.35048) Full Text: DOI arXiv Link
Winkler, Michael; Djie, Kianhwa C. Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect. (English) Zbl 1183.92012 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 1044-1064 (2010). MSC: 92C17 35K55 35B35 35B40 PDFBibTeX XMLCite \textit{M. Winkler} and \textit{K. C. Djie}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 2, 1044--1064 (2010; Zbl 1183.92012) Full Text: DOI
Akhmet, M. U. The complex dynamics of the cardiovascular system. (English) Zbl 1238.76078 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1922-e1931 (2009). MSC: 76Z05 92C35 37N10 PDFBibTeX XMLCite \textit{M. U. Akhmet}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1922--e1931 (2009; Zbl 1238.76078) Full Text: DOI
Rattanakul, C.; Lenbury, Y.; Wollkind, D. J.; Chatsudthipong, V. Weakly nonlinear analysis of a model of signal transduction pathway involving membrane based receptors. (English) Zbl 1238.35163 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1620-e1625 (2009). MSC: 35Q92 92C20 92C40 35K57 PDFBibTeX XMLCite \textit{C. Rattanakul} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1620--e1625 (2009; Zbl 1238.35163) Full Text: DOI
Chuedoung, Meechoke; Sarika, Warunee; Lenbury, Yongwimon Dynamical analysis of a nonlinear model for glucose-insulin system incorporating delays and \(\beta\)-cells compartment. (English) Zbl 1238.34066 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1048-e1058 (2009). MSC: 34C15 37N25 92C40 PDFBibTeX XMLCite \textit{M. Chuedoung} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1048--e1058 (2009; Zbl 1238.34066) Full Text: DOI
Greenhalgh, David; Khan, Qamar J. A. A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man. (English) Zbl 1238.93065 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e925-e935 (2009). MSC: 93C95 37N25 92C50 34C05 PDFBibTeX XMLCite \textit{D. Greenhalgh} and \textit{Q. J. A. Khan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e925--e935 (2009; Zbl 1238.93065) Full Text: DOI Link
Shi, Hongjing; Ma, Wanbiao; Duan, Zhisheng Global asymptotic stability of a nonlinear time-delayed system of \(T\) cells in the thymus. (English) Zbl 1175.34104 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2699-2707 (2009). MSC: 34K60 34K20 92C37 PDFBibTeX XMLCite \textit{H. Shi} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 2699--2707 (2009; Zbl 1175.34104) Full Text: DOI
Morimoto, Kotaro Construction of multi-peak solutions to the Gierer-Meinhardt system with saturation and source term. (English) Zbl 1178.35040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7-8, 2532-2557 (2009). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35K57 92C15 35B36 35J60 35J57 35B40 PDFBibTeX XMLCite \textit{K. Morimoto}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7--8, 2532--2557 (2009; Zbl 1178.35040) Full Text: DOI
Peng, Rui; Yang, Ming On steady-state solutions of the Brusselator-type system. (English) Zbl 1171.35363 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 1389-1394 (2009). MSC: 35J55 35B45 35K57 92C40 PDFBibTeX XMLCite \textit{R. Peng} and \textit{M. Yang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 1389--1394 (2009; Zbl 1171.35363) Full Text: DOI
Mukandavire, Zindoga; Chiyaka, Christinah; Garira, Winston; Musuka, Godfrey Mathematical analysis of a sex-structured HIV/AIDS model with a discrete time delay. (English) Zbl 1178.34103 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3-4, 1082-1093 (2009). Reviewer: Eva Sanchez (Madrid) MSC: 34K60 34K25 34K20 92D30 92C60 PDFBibTeX XMLCite \textit{Z. Mukandavire} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 3--4, 1082--1093 (2009; Zbl 1178.34103) Full Text: DOI
Lin, Shiyou Regularity of solutions to the spatially homogeneous Boltzmann equation for non Maxwellian molecules without angular cutoff. (English) Zbl 1180.35403 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1-2, 666-673 (2009). MSC: 35Q20 35A27 82B40 76P05 92C40 PDFBibTeX XMLCite \textit{S. Lin}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 1--2, 666--673 (2009; Zbl 1180.35403) Full Text: DOI
Senba, Takasi Blowup in infinite time of radial solutions for a parabolic-elliptic system in high-dimensional Euclidean spaces. (English) Zbl 1172.35003 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, 2549-2562 (2009). Reviewer: Philippe Laurençot (Toulouse) MSC: 35B05 35K55 35K57 92C17 PDFBibTeX XMLCite \textit{T. Senba}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 7, 2549--2562 (2009; Zbl 1172.35003) Full Text: DOI
Bodnar, M.; Foryś, U. A model of immune system with time-dependent immune reactivity. (English) Zbl 1166.34042 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 1049-1058 (2009). Reviewer: Yuming Chen (Waterloo) MSC: 34K60 34K13 34K28 92C99 PDFBibTeX XMLCite \textit{M. Bodnar} and \textit{U. Foryś}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 2, 1049--1058 (2009; Zbl 1166.34042) Full Text: DOI
Zhou, Fujun; Cui, Shangbin Bifurcation for a free boundary problem modeling the growth of multi-layer tumors. (English) Zbl 1135.35101 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 7, 2128-2145 (2008). MSC: 35R35 35B32 92C37 PDFBibTeX XMLCite \textit{F. Zhou} and \textit{S. Cui}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 7, 2128--2145 (2008; Zbl 1135.35101) Full Text: DOI
Browne, P.; Momoniat, E.; Mahomed, F. M. A generalized FitzHugh-Nagumo equation. (English) Zbl 1135.35009 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 1006-1015 (2008). Reviewer: Werner M. Seiler (Kassel) MSC: 35A30 92C20 35C05 35K57 65M20 58J72 58J70 PDFBibTeX XMLCite \textit{P. Browne} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 4, 1006--1015 (2008; Zbl 1135.35009) Full Text: DOI
Wang, Huiyuan; Feng, Enmin; Xiu, Zhilong Optimality condition of the nonlinear impulsive system in fed-batch fermentation. (English) Zbl 1132.49029 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 1, 12-23 (2008). MSC: 49N25 93C10 92C45 49K15 PDFBibTeX XMLCite \textit{H. Wang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 68, No. 1, 12--23 (2008; Zbl 1132.49029) Full Text: DOI