Traveling wave fronts in a diffusive and competitive Lotka-Volterra system

Zengji Du; Shuling Yan; Kaige Zhuang

doi:10.3934/dcdss.2021010

Traveling wave fronts in a diffusive and competitive Lotka-Volterra system

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2021010 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Zengji Du ◽

Shuling Yan ◽

Kaige Zhuang

Keyword(s):

Traveling Wave ◽

Volterra System ◽

Wave Fronts ◽

Traveling Wave Fronts

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Properties of Traveling Wave Fronts for Three Species Lotka–Volterra System

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-020-00404-2 ◽

2020 ◽

Vol 19 (2) ◽

Author(s):

Yanling Meng ◽

Weiguo Zhang

Keyword(s):

Traveling Wave ◽

Volterra System ◽

Wave Fronts ◽

Traveling Wave Fronts

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Traveling wave fronts of delayed non-local diffusion systems without quasimonotonicity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.05.057 ◽

2008 ◽

Vol 346 (2) ◽

pp. 415-424 ◽

Cited By ~ 41

Author(s):

Shuxia Pan

Keyword(s):

Traveling Wave ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Diffusion Systems ◽

Non Local ◽

Local Diffusion

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Existence, uniqueness and asymptotic behavior of traveling wave fronts for a generalized Fisher equation with nonlocal delay

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.07.003 ◽

2017 ◽

Vol 103 ◽

pp. 536-543 ◽

Cited By ~ 4

Author(s):

Jingdong Wei ◽

Lixin Tian ◽

Jiangbo Zhou ◽

Zaili Zhen

Keyword(s):

Asymptotic Behavior ◽

Traveling Wave ◽

Fisher Equation ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Nonlocal Delay ◽

Generalized Fisher Equation

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The existence of traveling wave fronts for a reaction-diffusion system modelling the acidic nitrate-ferroin reaction

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2014-01349-5 ◽

2014 ◽

Vol 72 (4) ◽

pp. 649-664 ◽

Cited By ~ 7

Author(s):

Sheng-Chen Fu

Keyword(s):

Traveling Wave ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

System Modelling ◽

Wave Fronts ◽

Traveling Wave Fronts

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On Traveling Wave Fronts in a Degenerate Nonlinear Parabolic System Modeling Bacterial Pattern Formation

International Journal of Applied and Computational Mathematics ◽

10.1007/s40819-017-0345-1 ◽

2017 ◽

Vol 3 (S1) ◽

pp. 1289-1297

Author(s):

M. B. A. Mansour

Keyword(s):

Pattern Formation ◽

Parabolic System ◽

Traveling Wave ◽

System Modeling ◽

Nonlinear Parabolic System ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Nonlinear Parabolic

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Stability of Traveling Wave Fronts for Nonlocal Diffusive Systems

International Journal of Biomathematics ◽

10.1142/s1793524521500145 ◽

2020 ◽

Author(s):

Yanling Meng ◽

Zhixian Yu ◽

Shengqiang Zhang

Keyword(s):

Traveling Wave ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Diffusive Systems

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Existence and asymptotic behavior of traveling wave fronts for a food-limited population model with spatio-temporal delay

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-017-0244-1 ◽

2017 ◽

Vol 34 (1) ◽

pp. 305-320 ◽

Cited By ~ 4

Author(s):

Jingdong Wei ◽

Lixin Tian ◽

Jiangbo Zhou ◽

Zaili Zhen ◽

Jing Xu

Keyword(s):

Asymptotic Behavior ◽

Traveling Wave ◽

Population Model ◽

Temporal Delay ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Spatio Temporal

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Existence of traveling wave fronts of delayed lattice differential equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2004.05.027 ◽

2004 ◽

Vol 298 (2) ◽

pp. 538-558 ◽

Cited By ~ 21

Author(s):

Jianhua Huang ◽

Gang Lu ◽

Xingfu Zou

Keyword(s):

Differential Equations ◽

Traveling Wave ◽

Wave Fronts ◽

Lattice Differential Equations ◽

Traveling Wave Fronts

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Traveling wave fronts in a delayed population model of Daphnia magna

Applied Mathematics and Computation ◽

10.1016/j.amc.2009.06.045 ◽

2009 ◽

Vol 215 (3) ◽

pp. 1118-1123 ◽

Cited By ~ 3

Author(s):

Shuxia Pan ◽

Shimin Wan

Keyword(s):

Daphnia Magna ◽

Traveling Wave ◽

Population Model ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Delayed Population Model

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Global stability of traveling wave fronts for non-local delayed lattice differential equations

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.12.010 ◽

2012 ◽

Vol 13 (4) ◽

pp. 1790-1801 ◽

Cited By ~ 8

Author(s):

Guo-Bao Zhang

Keyword(s):

Differential Equations ◽

Global Stability ◽

Traveling Wave ◽

Wave Fronts ◽

Lattice Differential Equations ◽

Traveling Wave Fronts ◽

Non Local

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