Wang, Chang-Jian; Zheng, Zi-Han The effects of cross-diffusion and logistic source on the boundedness of solutions to a pursuit-evasion model. (English) Zbl 07804292 Electron. Res. Arch. 31, No. 6, 3362-3380 (2023). MSC: 35A09 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{C.-J. Wang} and \textit{Z.-H. Zheng}, Electron. Res. Arch. 31, No. 6, 3362--3380 (2023; Zbl 07804292) Full Text: DOI
Tang, Haotian; Zheng, Jiashan; Li, Kaiqiang Global and bounded solution to a quasilinear parabolic-elliptic pursuit-evasion system in \(N\)-dimensional domains. (English) Zbl 1518.35116 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127406, 18 p. (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{H. Tang} et al., J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127406, 18 p. (2023; Zbl 1518.35116) Full Text: DOI
Sun, Baoyan Propagation phenomena of the solution for the relativistic BGK model. (English) Zbl 1511.35345 J. Math. Phys. 64, No. 2, Article ID 021507, 14 p. (2023). MSC: 35Q75 76P05 82C40 35B40 PDFBibTeX XMLCite \textit{B. Sun}, J. Math. Phys. 64, No. 2, Article ID 021507, 14 p. (2023; Zbl 1511.35345) Full Text: DOI
Boudet, S.; Bombacigno, F.; Moretti, F.; Olmo, Gonzalo J. Torsional birefringence in metric-affine Chern-Simons gravity: gravitational waves in late-time cosmology. (English) Zbl 1519.83011 J. Cosmol. Astropart. Phys. 2023, No. 1, Paper No. 26, 28 p. (2023). MSC: 83C35 83F05 83D05 35B20 83C15 83C57 80A10 58J28 83C20 83C55 58J52 PDFBibTeX XMLCite \textit{S. Boudet} et al., J. Cosmol. Astropart. Phys. 2023, No. 1, Paper No. 26, 28 p. (2023; Zbl 1519.83011) Full Text: DOI arXiv
Liu, Xu; Zheng, Jiashan Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension. (English) Zbl 1502.35019 Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 2269-2293 (2023). MSC: 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{X. Liu} and \textit{J. Zheng}, Discrete Contin. Dyn. Syst., Ser. B 28, No. 3, 2269--2293 (2023; Zbl 1502.35019) Full Text: DOI
Zheng, Jiashan; Zhang, Pengmei Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction. (English) Zbl 1501.35095 J. Math. Anal. Appl. 519, No. 1, Article ID 126741, 12 p. (2023). MSC: 35B44 35K51 35K57 92D25 PDFBibTeX XMLCite \textit{J. Zheng} and \textit{P. Zhang}, J. Math. Anal. Appl. 519, No. 1, Article ID 126741, 12 p. (2023; Zbl 1501.35095) Full Text: DOI
Liu, Zhengrong Global existence and time decay of the relativistic BGK equation in the whole space. (English) Zbl 1507.35281 J. Math. Phys. 63, No. 4, Article ID 041506, 29 p. (2022). MSC: 35Q75 35B40 PDFBibTeX XMLCite \textit{Z. Liu}, J. Math. Phys. 63, No. 4, Article ID 041506, 29 p. (2022; Zbl 1507.35281) Full Text: DOI
Qi, Dayong; Ke, Yuanyuan Large time behavior in a predator-prey system with pursuit-evasion interaction. (English) Zbl 1500.35047 Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4531-4549 (2022). MSC: 35B40 35B65 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{D. Qi} and \textit{Y. Ke}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 8, 4531--4549 (2022; Zbl 1500.35047) Full Text: DOI
Boudet, S.; Bombacigno, F.; Olmo, G. J.; Porfírio, P. J. Quasinormal modes of Schwarzschild black holes in projective invariant Chern-Simons modified gravity. (English) Zbl 1507.83049 J. Cosmol. Astropart. Phys. 2022, No. 5, Paper No. 32, 28 p. (2022). MSC: 83C57 80A10 93D05 83C15 58J28 46C20 53C21 81R40 58J52 35B20 PDFBibTeX XMLCite \textit{S. Boudet} et al., J. Cosmol. Astropart. Phys. 2022, No. 5, Paper No. 32, 28 p. (2022; Zbl 1507.83049) Full Text: DOI arXiv
Qiu, Shuyan; Mu, Chunlai; Yi, Hong Boundedness and asymptotic stability in a predator-prey chemotaxis system with indirect pursuit-evasion dynamics. (English) Zbl 1513.35295 Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1035-1057 (2022). MSC: 35K35 35K55 35B35 92C17 PDFBibTeX XMLCite \textit{S. Qiu} et al., Acta Math. Sci., Ser. B, Engl. Ed. 42, No. 3, 1035--1057 (2022; Zbl 1513.35295) Full Text: DOI
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M. Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. (English) Zbl 1497.35039 Math. Models Methods Appl. Sci. 32, No. 4, 713-792 (2022). Reviewer: Lingeshwaran Shangerganesh (Ponda) MSC: 35B36 35B40 35B44 35K51 35K57 35Q35 92C17 91D10 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 32, No. 4, 713--792 (2022; Zbl 1497.35039) Full Text: DOI
Telch, Bruno A parabolic-quasilinear predator-prey model under pursuit-evasion dynamics. (English) Zbl 1491.35005 J. Math. Anal. Appl. 514, No. 1, Article ID 126276, 14 p. (2022). MSC: 35A01 35K51 35K59 92C17 92D25 PDFBibTeX XMLCite \textit{B. Telch}, J. Math. Anal. Appl. 514, No. 1, Article ID 126276, 14 p. (2022; Zbl 1491.35005) Full Text: DOI
Hwang, Byung-Hoon; Ruggeri, Tommaso; Yun, Seok-Bae On a relativistic BGK model for polyatomic gases near equilibrium. (English) Zbl 1495.76140 SIAM J. Math. Anal. 54, No. 3, 2906-2947 (2022). MSC: 76Y05 76P05 83C55 35Q20 35Q82 35Q75 PDFBibTeX XMLCite \textit{B.-H. Hwang} et al., SIAM J. Math. Anal. 54, No. 3, 2906--2947 (2022; Zbl 1495.76140) Full Text: DOI arXiv
Hwang, Byung-Hoon Global existence of bounded solutions to the relativistic BGK model. (English) Zbl 1502.35076 Nonlinear Anal., Real World Appl. 63, Article ID 103409, 24 p. (2022). MSC: 35Q20 35Q76 82C40 83A05 35A01 PDFBibTeX XMLCite \textit{B.-H. Hwang}, Nonlinear Anal., Real World Appl. 63, Article ID 103409, 24 p. (2022; Zbl 1502.35076) Full Text: DOI
Hwang, Byung-Hoon; Lee, Ho; Yun, Seok-Bae Relativistic BGK model for massless particles in the FLRW spacetime. (English) Zbl 1484.76096 Kinet. Relat. Models 14, No. 6, 949-959 (2021). MSC: 76Y05 76P05 83C55 35Q20 35Q75 PDFBibTeX XMLCite \textit{B.-H. Hwang} et al., Kinet. Relat. Models 14, No. 6, 949--959 (2021; Zbl 1484.76096) Full Text: DOI arXiv
Corbin, Gregor; Klar, Axel; Surulescu, Christina; Engwer, Christian; Wenske, Michael; Nieto, Juanjo; Soler, Juan Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: from subcellular dynamics to macroscopic PDEs with multiple taxis. (English) Zbl 1473.92007 Math. Models Methods Appl. Sci. 31, No. 1, 177-222 (2021). MSC: 92-10 92C17 35Q92 PDFBibTeX XMLCite \textit{G. Corbin} et al., Math. Models Methods Appl. Sci. 31, No. 1, 177--222 (2021; Zbl 1473.92007) Full Text: DOI arXiv
Jang, Jin Woo; Strain, Robert M.; Yun, Seok-Bae Propagation of uniform upper bounds for the spatially homogeneous relativistic Boltzmann equation. (English) Zbl 1467.76049 Arch. Ration. Mech. Anal. 241, No. 1, 149-186 (2021). MSC: 76P05 76Y05 35Q20 83C55 PDFBibTeX XMLCite \textit{J. W. Jang} et al., Arch. Ration. Mech. Anal. 241, No. 1, 149--186 (2021; Zbl 1467.76049) Full Text: DOI arXiv
López, José Luis A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation. (English) Zbl 1465.35273 Discrete Contin. Dyn. Syst. 41, No. 6, 2601-2617 (2021). MSC: 35K40 35K59 35Q55 92C17 PDFBibTeX XMLCite \textit{J. L. López}, Discrete Contin. Dyn. Syst. 41, No. 6, 2601--2617 (2021; Zbl 1465.35273) Full Text: DOI
Kolbe, Niklas; Sfakianakis, Nikolaos; Stinner, Christian; Surulescu, Christina; Lenz, Jonas Modeling multiple taxis: tumor invasion with phenotypic heterogeneity, haptotaxis, and unilateral interspecies repellence. (English) Zbl 1467.35323 Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 443-481 (2021). Reviewer: Yaroslav Baranetskij (Lviv) MSC: 35Q92 92C17 92C37 35K55 35A01 35D30 92-08 PDFBibTeX XMLCite \textit{N. Kolbe} et al., Discrete Contin. Dyn. Syst., Ser. B 26, No. 1, 443--481 (2021; Zbl 1467.35323) Full Text: DOI arXiv
Telch, Bruno Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion. (English) Zbl 1464.35145 Nonlinear Anal., Real World Appl. 59, Article ID 103269, 12 p. (2021). MSC: 35K51 35K59 92C17 92D25 35B45 PDFBibTeX XMLCite \textit{B. Telch}, Nonlinear Anal., Real World Appl. 59, Article ID 103269, 12 p. (2021; Zbl 1464.35145) Full Text: DOI
Amorim, Paulo; Telch, Bruno A chemotaxis predator-prey model with indirect pursuit-evasion dynamics and parabolic signal. (English) Zbl 1470.35177 J. Math. Anal. Appl. 500, No. 1, Article ID 125128, 27 p. (2021). Reviewer: Takashi Suzuki (Osaka) MSC: 35K51 35K59 92D25 35K57 92C17 PDFBibTeX XMLCite \textit{P. Amorim} and \textit{B. Telch}, J. Math. Anal. Appl. 500, No. 1, Article ID 125128, 27 p. (2021; Zbl 1470.35177) Full Text: DOI
Hwang, Byung-Hoon; Yun, Seok-Bae Stationary solutions to the Anderson-Witting model of the relativistic Boltzmann equation in a bounded interval. (English) Zbl 1460.35250 SIAM J. Math. Anal. 53, No. 1, 730-753 (2021). MSC: 35Q20 35Q75 76P05 83A05 82C40 PDFBibTeX XMLCite \textit{B.-H. Hwang} and \textit{S.-B. Yun}, SIAM J. Math. Anal. 53, No. 1, 730--753 (2021; Zbl 1460.35250) Full Text: DOI
Jang, Jin Woo; Yun, Seok-Bae Propagation of \(L^p\) estimates for the spatially homogeneous relativistic Boltzmann equation. (English) Zbl 1454.35249 J. Differ. Equations 272, 105-126 (2021). MSC: 35Q20 76P05 82C40 35B65 83A05 PDFBibTeX XMLCite \textit{J. W. Jang} and \textit{S.-B. Yun}, J. Differ. Equations 272, 105--126 (2021; Zbl 1454.35249) Full Text: DOI arXiv
Ahn, Jaewook; Lee, Jihoon Asymptotics of chemotaxis systems with fractional dissipation for small data in critical Sobolev space. (English) Zbl 1462.35065 Acta Appl. Math. 169, 199-215 (2020). MSC: 35B40 35R11 35K15 92C17 PDFBibTeX XMLCite \textit{J. Ahn} and \textit{J. Lee}, Acta Appl. Math. 169, 199--215 (2020; Zbl 1462.35065) Full Text: DOI
Fuest, Mario Global solutions near homogeneous steady states in a multidimensional population model with both predator- and prey-taxis. (English) Zbl 1458.35222 SIAM J. Math. Anal. 52, No. 6, 5865-5891 (2020). Reviewer: Thomas Giletti (Vandœuvre-lès-Nancy) MSC: 35K57 35B35 35K55 92D25 PDFBibTeX XMLCite \textit{M. Fuest}, SIAM J. Math. Anal. 52, No. 6, 5865--5891 (2020; Zbl 1458.35222) Full Text: DOI arXiv
Li, Genglin; Tao, Youshan; Winkler, Michael Large time behavior in a predator-prey system with indirect pursuit-evasion interaction. (English) Zbl 1453.92250 Discrete Contin. Dyn. Syst., Ser. B 25, No. 11, 4383-4396 (2020). MSC: 92D25 92C17 35Q92 PDFBibTeX XMLCite \textit{G. Li} et al., Discrete Contin. Dyn. Syst., Ser. B 25, No. 11, 4383--4396 (2020; Zbl 1453.92250) Full Text: DOI
Bellomo, N.; Tao, Y.; Winkler, M. Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. (English) Zbl 1451.92062 Math. Models Methods Appl. Sci. 30, No. 6, 1033-1039 (2020). MSC: 92C17 35Q92 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 30, No. 6, 1033--1039 (2020; Zbl 1451.92062) Full Text: DOI
Burczak, Jan; Granero-Belinchón, Rafael Boundedness and homogeneous asymptotics for a fractional logistic Keller-Segel equations. (English) Zbl 1439.35054 Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 139-164 (2020). MSC: 35B40 35B65 35K51 35R11 92C17 35A01 35S10 PDFBibTeX XMLCite \textit{J. Burczak} and \textit{R. Granero-Belinchón}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 139--164 (2020; Zbl 1439.35054) Full Text: DOI arXiv
Calvo, Juan; Jabin, Pierre-Emmanuel; Soler, Juan Global weak solutions to the relativistic BGK equation. (English) Zbl 1437.35659 Commun. Partial Differ. Equations 45, No. 3, 191-229 (2020). MSC: 35Q75 35Q20 76P05 82C40 35D30 35A01 PDFBibTeX XMLCite \textit{J. Calvo} et al., Commun. Partial Differ. Equations 45, No. 3, 191--229 (2020; Zbl 1437.35659) Full Text: DOI arXiv
Amorim, Paulo; Telch, Bruno; Villada, Luis M. A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing. (English) Zbl 1497.92190 Math. Biosci. Eng. 16, No. 5, 5114-5145 (2019). MSC: 92D25 35K57 92C17 35Q92 PDFBibTeX XMLCite \textit{P. Amorim} et al., Math. Biosci. Eng. 16, No. 5, 5114--5145 (2019; Zbl 1497.92190) Full Text: DOI
Burini, D.; Chouhad, N. A multiscale view of nonlinear diffusion in biology: from cells to tissues. (English) Zbl 1427.35291 Math. Models Methods Appl. Sci. 29, No. 4, 791-823 (2019). MSC: 35Q92 92C17 82C40 PDFBibTeX XMLCite \textit{D. Burini} and \textit{N. Chouhad}, Math. Models Methods Appl. Sci. 29, No. 4, 791--823 (2019; Zbl 1427.35291) Full Text: DOI
Caputo, M. Cristina; Goudon, Thierry; Vasseur, Alexis F. Solutions of the 4-species quadratic reaction-diffusion system are bounded and \(C^\infty\)-smooth, in any space dimension. (English) Zbl 1423.35164 Anal. PDE 12, No. 7, 1773-1804 (2019). MSC: 35K45 35B65 35K57 PDFBibTeX XMLCite \textit{M. C. Caputo} et al., Anal. PDE 12, No. 7, 1773--1804 (2019; Zbl 1423.35164) Full Text: DOI arXiv
Hwang, Byung-Hoon; Yun, Seok-Bae Anderson-Witting model of the relativistic Boltzmann equation near equilibrium. (English) Zbl 1429.83002 J. Stat. Phys. 176, No. 4, 1009-1045 (2019). MSC: 83A05 76Y05 76P05 35Q20 PDFBibTeX XMLCite \textit{B.-H. Hwang} and \textit{S.-B. Yun}, J. Stat. Phys. 176, No. 4, 1009--1045 (2019; Zbl 1429.83002) Full Text: DOI arXiv
Estrada-Rodriguez, Gissell; Gimperlein, Heiko; Painter, Kevin J.; Stocek, Jakub Space-time fractional diffusion in cell movement models with delay. (English) Zbl 1411.92036 Math. Models Methods Appl. Sci. 29, No. 1, 65-88 (2019). MSC: 92C17 35K40 35Q92 35R11 PDFBibTeX XMLCite \textit{G. Estrada-Rodriguez} et al., Math. Models Methods Appl. Sci. 29, No. 1, 65--88 (2019; Zbl 1411.92036) Full Text: DOI arXiv
Bellomo, N.; Tao, Y.; Winkler, M. Cross-diffusion models: analytic and multiscale problems. (English) Zbl 1408.35078 Math. Models Methods Appl. Sci. 28, No. 11, 2097-2102 (2018). MSC: 35K57 35J57 35K51 35Q92 92D25 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 28, No. 11, 2097--2102 (2018; Zbl 1408.35078) Full Text: DOI
Perthame, Benoît; Sun, Weiran; Tang, Min The fractional diffusion limit of a kinetic model with biochemical pathway. (English) Zbl 1395.35015 Z. Angew. Math. Phys. 69, No. 3, Paper No. 67, 15 p. (2018). MSC: 35B25 35R11 82C40 92C17 35Q92 PDFBibTeX XMLCite \textit{B. Perthame} et al., Z. Angew. Math. Phys. 69, No. 3, Paper No. 67, 15 p. (2018; Zbl 1395.35015) Full Text: DOI arXiv
Estrada-Rodriguez, Gissell; Gimperlein, Heiko; Painter, Kevin J. Fractional Patlak-Keller-Segel equations for chemotactic superdiffusion. (English) Zbl 1390.92024 SIAM J. Appl. Math. 78, No. 2, 1155-1173 (2018). MSC: 92C17 35R11 35Q92 PDFBibTeX XMLCite \textit{G. Estrada-Rodriguez} et al., SIAM J. Appl. Math. 78, No. 2, 1155--1173 (2018; Zbl 1390.92024) Full Text: DOI arXiv
Chen, Zili Smooth solutions to the BGK equation and the ES-BGK equation with infinite energy. (English) Zbl 1394.35509 J. Differ. Equations 265, No. 1, 389-416 (2018). MSC: 35Q83 35F25 35J05 82C40 35B65 35Q20 PDFBibTeX XMLCite \textit{Z. Chen}, J. Differ. Equations 265, No. 1, 389--416 (2018; Zbl 1394.35509) Full Text: DOI
Bellomo, N.; Bellouquid, A.; Chouhad, N. From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid. (English) Zbl 1353.35038 Math. Models Methods Appl. Sci. 26, No. 11, 2041-2069 (2016). MSC: 35B27 35A01 35B40 35K55 35K57 35Q30 35K40 92C17 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 26, No. 11, 2041--2069 (2016; Zbl 1353.35038) Full Text: DOI
Bellomo, N.; Brezzi, F. Mathematics, complexity and multiscale features of large systems of self-propelled particles. (English) Zbl 1398.92024 Math. Models Methods Appl. Sci. 26, No. 2, 207-214 (2016). MSC: 92C10 35Q92 PDFBibTeX XMLCite \textit{N. Bellomo} and \textit{F. Brezzi}, Math. Models Methods Appl. Sci. 26, No. 2, 207--214 (2016; Zbl 1398.92024) Full Text: DOI
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