Ma, Manjun; Meng, Wentao; Ou, Chunhua Impact of nonlocal dispersal and time periodicity on the global exponential stability of bistable traveling waves. (English) Zbl 07778775 Stud. Appl. Math. 150, No. 3, 818-840 (2023). MSC: 45M10 45M15 45E10 PDFBibTeX XMLCite \textit{M. Ma} et al., Stud. Appl. Math. 150, No. 3, 818--840 (2023; Zbl 07778775) Full Text: DOI
Ma, Manjun; Meng, Wentao; Ou, Chunhua A time-periodic competition model with nonlocal dispersal and bistable nonlinearity: propagation dynamics and stability. (English) Zbl 1527.35123 Z. Angew. Math. Phys. 74, No. 6, Paper No. 230, 31 p. (2023). MSC: 35C07 35B35 35K57 35R09 37C65 92D25 PDFBibTeX XMLCite \textit{M. Ma} et al., Z. Angew. Math. Phys. 74, No. 6, Paper No. 230, 31 p. (2023; Zbl 1527.35123) Full Text: DOI arXiv
Ma, Manjun; Yue, Jiajun; Huang, Zhe; Ou, Chunhua Propagation dynamics of bistable traveling wave to a time-periodic Lotka-Volterra competition model: effect of seasonality. (English) Zbl 1516.35232 J. Dyn. Differ. Equations 35, No. 2, 1745-1767 (2023). MSC: 35K57 35C07 92D25 PDFBibTeX XMLCite \textit{M. Ma} et al., J. Dyn. Differ. Equations 35, No. 2, 1745--1767 (2023; Zbl 1516.35232) Full Text: DOI
Alfaro, Matthieu; Xiao, Dongyuan Lotka-Volterra competition-diffusion system: the critical competition case. (English) Zbl 1516.35065 Commun. Partial Differ. Equations 48, No. 2, 182-208 (2023). Reviewer: Guobao Zhang (Lanzhou) MSC: 35B40 35K57 35C07 35K45 PDFBibTeX XMLCite \textit{M. Alfaro} and \textit{D. Xiao}, Commun. Partial Differ. Equations 48, No. 2, 182--208 (2023; Zbl 1516.35065) Full Text: DOI arXiv
Girardin, Léo; Hilhorst, Danielle Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system. (English) Zbl 1512.35145 Electron. Res. Arch. 30, No. 5, 1748-1773 (2022). MSC: 35C07 35B40 35K40 35K59 PDFBibTeX XMLCite \textit{L. Girardin} and \textit{D. Hilhorst}, Electron. Res. Arch. 30, No. 5, 1748--1773 (2022; Zbl 1512.35145) Full Text: DOI arXiv
González, Gabriel; Rodrigo, Marianito R. Lotka-Volterra competition system with strong advection rates. (English) Zbl 1507.92076 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 5, 399-409 (2022). MSC: 92D25 35C07 35K57 PDFBibTeX XMLCite \textit{G. González} and \textit{M. R. Rodrigo}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 29, No. 5, 399--409 (2022; Zbl 1507.92076) Full Text: Link
Wang, Zihao; Bayliss, A.; Volpert, V. A. Asymptotic analysis of the bistable Lotka-Volterra competition-diffusion system. (English) Zbl 1510.92191 Appl. Math. Comput. 432, Article ID 127371, 25 p. (2022). MSC: 92D25 35K57 35Q92 PDFBibTeX XMLCite \textit{Z. Wang} et al., Appl. Math. Comput. 432, Article ID 127371, 25 p. (2022; Zbl 1510.92191) Full Text: DOI
Du, Yihong Propagation and reaction-diffusion models with free boundaries. (English) Zbl 1486.35479 Bull. Math. Sci. 12, No. 1, Article ID 2230001, 56 p. (2022). MSC: 35R35 35K20 35K57 35K58 92D25 92D30 PDFBibTeX XMLCite \textit{Y. Du}, Bull. Math. Sci. 12, No. 1, Article ID 2230001, 56 p. (2022; Zbl 1486.35479) Full Text: DOI
Wang, Hongyong; Ou, Chunhua Propagation direction of the traveling wave for the Lotka-Volterra competitive lattice system. (English) Zbl 1470.34040 J. Dyn. Differ. Equations 33, No. 2, 1153-1174 (2021). Reviewer: Hongquan Sun (Harbin) MSC: 34A33 35K57 34C37 92D25 PDFBibTeX XMLCite \textit{H. Wang} and \textit{C. Ou}, J. Dyn. Differ. Equations 33, No. 2, 1153--1174 (2021; Zbl 1470.34040) Full Text: DOI
Peng, Rui; Wu, Chang-Hong; Zhou, Maolin Sharp estimates for the spreading speeds of the Lotka-Volterra diffusion system with strong competition. (English) Zbl 1470.35115 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 507-547 (2021). MSC: 35C07 35B40 35K57 35K45 92D25 PDFBibTeX XMLCite \textit{R. Peng} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 38, No. 3, 507--547 (2021; Zbl 1470.35115) Full Text: DOI arXiv
Wang, Hongyong; Ou, Chunhua Propagation speed of the bistable traveling wave to the Lotka-Volterra competition system in a periodic habitat. (English) Zbl 1462.35127 J. Nonlinear Sci. 30, No. 6, 3129-3159 (2020). MSC: 35C07 35K57 35B20 92D25 PDFBibTeX XMLCite \textit{H. Wang} and \textit{C. Ou}, J. Nonlinear Sci. 30, No. 6, 3129--3159 (2020; Zbl 1462.35127) Full Text: DOI
Tsai, Je-Chiang; Weng, Yu-Yu Propagation direction of traveling waves for a class of bistable epidemic models. (English) Zbl 1464.34067 J. Math. Biol. 81, No. 6-7, 1465-1493 (2020). Reviewer: Yingxin Guo (Qufu) MSC: 34C37 35Q92 92D30 35C07 35K57 PDFBibTeX XMLCite \textit{J.-C. Tsai} and \textit{Y.-Y. Weng}, J. Math. Biol. 81, No. 6--7, 1465--1493 (2020; Zbl 1464.34067) Full Text: DOI
Krause, Andrew L.; Van Gorder, Robert A. A non-local cross-diffusion model of population dynamics II: exact, approximate, and numerical traveling waves in single- and multi-species populations. (English) Zbl 1448.92212 Bull. Math. Biol. 82, No. 8, Paper No. 113, 30 p. (2020). MSC: 92D25 35C07 PDFBibTeX XMLCite \textit{A. L. Krause} and \textit{R. A. Van Gorder}, Bull. Math. Biol. 82, No. 8, Paper No. 113, 30 p. (2020; Zbl 1448.92212) Full Text: DOI Link
Ma, Manjun; Zhang, Qiming; Yue, Jiajun; Ou, Chunhua Bistable wave speed of the Lotka-Volterra competition model. (English) Zbl 1448.92230 J. Biol. Dyn. 14, No. 1, 608-620 (2020). MSC: 92D25 35C07 35Q92 PDFBibTeX XMLCite \textit{M. Ma} et al., J. Biol. Dyn. 14, No. 1, 608--620 (2020; Zbl 1448.92230) Full Text: DOI
Guo, Jong-Shenq; Nakamura, Ken-Ichi; Ogiwara, Toshiko; Wu, Chang-Hong The sign of traveling wave speed in bistable dynamics. (English) Zbl 1439.35240 Discrete Contin. Dyn. Syst. 40, No. 6, 3451-3466 (2020). MSC: 35K55 35K57 35Q92 37N25 92D25 92D40 PDFBibTeX XMLCite \textit{J.-S. Guo} et al., Discrete Contin. Dyn. Syst. 40, No. 6, 3451--3466 (2020; Zbl 1439.35240) Full Text: DOI
Contento, Lorenzo; Mimura, Masayasu Complex pattern formation driven by the interaction of stable fronts in a competition-diffusion system. (English) Zbl 1434.35252 J. Math. Biol. 80, No. 1-2, 303-342 (2020). MSC: 35Q92 92D25 35K57 35C07 35B36 92C15 35B32 PDFBibTeX XMLCite \textit{L. Contento} and \textit{M. Mimura}, J. Math. Biol. 80, No. 1--2, 303--342 (2020; Zbl 1434.35252) Full Text: DOI arXiv
Girardin, Léo The effect of random dispersal on competitive exclusion - a review. (English) Zbl 1437.92097 Math. Biosci. 318, Article ID 108271, 8 p. (2019). MSC: 92D25 35C07 35Q92 92-02 PDFBibTeX XMLCite \textit{L. Girardin}, Math. Biosci. 318, Article ID 108271, 8 p. (2019; Zbl 1437.92097) Full Text: DOI arXiv
Hutridurga, H.; Venkataraman, C. Heterogeneity and strong competition in ecology. (English) Zbl 1430.92126 Eur. J. Appl. Math. 30, No. 4, 682-706 (2019). Reviewer: Syed Abbas (Mandi) MSC: 92D40 92D25 35B25 35Q92 80A22 PDFBibTeX XMLCite \textit{H. Hutridurga} and \textit{C. Venkataraman}, Eur. J. Appl. Math. 30, No. 4, 682--706 (2019; Zbl 1430.92126) Full Text: DOI arXiv
Dean, Andrew D.; Horsburgh, Malcolm J.; Vasiev, Bakhti Toxin-mediated competition in weakly motile bacteria. (English) Zbl 1420.92119 J. Theor. Biol. 480, 205-217 (2019). MSC: 92D40 92D25 35Q92 35C07 PDFBibTeX XMLCite \textit{A. D. Dean} et al., J. Theor. Biol. 480, 205--217 (2019; Zbl 1420.92119) Full Text: DOI arXiv
Guo, Jong-Shenq; Wu, Chang-Hong Entire solutions originating from traveling fronts for a two-species competition-diffusion system. (English) Zbl 1418.35218 Nonlinearity 32, No. 9, 3234-3268 (2019). MSC: 35K40 35K57 35B08 35B40 PDFBibTeX XMLCite \textit{J.-S. Guo} and \textit{C.-H. Wu}, Nonlinearity 32, No. 9, 3234--3268 (2019; Zbl 1418.35218) Full Text: DOI
Ma, Manjun; Huang, Zhe; Ou, Chunhua Speed of the traveling wave for the bistable Lotka-Volterra competition model. (English) Zbl 1419.35110 Nonlinearity 32, No. 9, 3143-3162 (2019). MSC: 35K57 35B20 35Q92 92D25 PDFBibTeX XMLCite \textit{M. Ma} et al., Nonlinearity 32, No. 9, 3143--3162 (2019; Zbl 1419.35110) Full Text: DOI
Potts, Jonathan R.; Lewis, Mark A. Spatial memory and taxis-driven pattern formation in model ecosystems. (English) Zbl 1417.92217 Bull. Math. Biol. 81, No. 7, 2725-2747 (2019). MSC: 92D40 92D25 35Q92 PDFBibTeX XMLCite \textit{J. R. Potts} and \textit{M. A. Lewis}, Bull. Math. Biol. 81, No. 7, 2725--2747 (2019; Zbl 1417.92217) Full Text: DOI arXiv
Köhnke, Merlin C.; Malchow, H. Wave pinning in competition-diffusion models in variable environments. (English) Zbl 1406.92669 J. Theor. Biol. 461, 204-214 (2019). MSC: 92D40 92D25 35Q92 PDFBibTeX XMLCite \textit{M. C. Köhnke} and \textit{H. Malchow}, J. Theor. Biol. 461, 204--214 (2019; Zbl 1406.92669) Full Text: DOI
Girardin, Léo Non-cooperative Fisher-KPP systems: asymptotic behavior of traveling waves. (English) Zbl 1499.35323 Math. Models Methods Appl. Sci. 28, No. 6, 1067-1104 (2018). MSC: 35K40 35C07 35K57 92D25 PDFBibTeX XMLCite \textit{L. Girardin}, Math. Models Methods Appl. Sci. 28, No. 6, 1067--1104 (2018; Zbl 1499.35323) Full Text: DOI arXiv
Girardin, Léo; Nadin, Grégoire Competition in periodic media. II: Segregative limit of pulsating fronts and “unity is not strength”-type result. (English) Zbl 1391.35052 J. Differ. Equations 265, No. 1, 98-156 (2018). MSC: 35B40 35K57 35R35 92D25 35B10 PDFBibTeX XMLCite \textit{L. Girardin} and \textit{G. Nadin}, J. Differ. Equations 265, No. 1, 98--156 (2018; Zbl 1391.35052) Full Text: DOI arXiv
Carrère, Cécile Spreading speeds for a two-species competition-diffusion system. (English) Zbl 1432.35112 J. Differ. Equations 264, No. 3, 2133-2156 (2018). MSC: 35K40 35A24 35K57 35K58 PDFBibTeX XMLCite \textit{C. Carrère}, J. Differ. Equations 264, No. 3, 2133--2156 (2018; Zbl 1432.35112) Full Text: DOI HAL
Potts, Jonathan R.; Petrovskii, Sergei V. Fortune favours the brave: movement responses shape demographic dynamics in strongly competing populations. (English) Zbl 1370.92143 J. Theor. Biol. 420, 190-199 (2017). MSC: 92D25 92D15 92D50 PDFBibTeX XMLCite \textit{J. R. Potts} and \textit{S. V. Petrovskii}, J. Theor. Biol. 420, 190--199 (2017; Zbl 1370.92143) Full Text: DOI Link
Girardin, Léo Competition in periodic media. I: Existence of pulsating fronts. (English) Zbl 1360.35012 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1341-1360 (2017). MSC: 35B10 35B35 35B40 35K57 92D25 PDFBibTeX XMLCite \textit{L. Girardin}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1341--1360 (2017; Zbl 1360.35012) Full Text: DOI arXiv