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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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 ◽

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 ◽

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 ◽

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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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 ◽

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 ◽

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 ◽

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 ◽

Author(s):

Guo-Bao Zhang

Keyword(s):

Differential Equations ◽

Global Stability ◽

Traveling Wave ◽

Wave Fronts ◽

Lattice Differential Equations ◽

Traveling Wave Fronts ◽

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Existence of traveling wave fronts in delayed reaction-diffusion systems via the monotone iteration method

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-97-04080-x ◽

1997 ◽

Vol 125 (9) ◽

pp. 2589-2598 ◽

Author(s):

Xingfu Zou ◽

Jianhong Wu

Keyword(s):

Traveling Wave ◽

Iteration Method ◽

Reaction Diffusion ◽

Wave Fronts ◽

Delayed Reaction ◽

Reaction Diffusion Systems ◽

Traveling Wave Fronts ◽

Monotone Iteration ◽

Diffusion Systems

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Existence and asymptotics of traveling wave fronts for a delayed nonlocal diffusion model with a quiescent stage

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2013.04.025 ◽

2013 ◽

Vol 18 (11) ◽

pp. 3006-3013 ◽

Author(s):

Kai Zhou ◽

Yuan Lin ◽

Qi-Ru Wang

Keyword(s):

Diffusion Model ◽

Traveling Wave ◽

Nonlocal Diffusion ◽

Wave Fronts ◽

Traveling Wave Fronts ◽

Quiescent Stage

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