Monotonicity of wave profiles for a bistable system on 2-D lattice-Reference-Cited by-同舟云学术

Monotonicity of wave profiles for a bistable system on 2-D lattice

Published:2022-11-22 Issue:2 Volume:151 Page:745-753
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Xu Zhaoquan

Abstract

This paper is concerned with the monotonicity problem of traveling wave solutions for a class of nonlocal bistable system on two-dimensional lattice. We prove that any traveling wave solution, including the standing wave solution (wave speed c = 0 c=0 ), is strictly monotone increasing for this nonlocal bistable lattice system.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/2023-151-02/S0002-9939-2022-16166-8/S0002-9939-2022-16166-8.pdf

Reference16 articles.

1. Traveling wave solutions for systems of ODEs on a two-dimensional spatial lattice;Cahn, John W.;SIAM J. Appl. Math.,1999

2. Transition layers for singularly perturbed delay differential equations with monotone nonlinearities;Chow, Shui-Nee;J. Dynam. Differential Equations,1989

3. Traveling waves in lattice dynamical systems;Chow, Shui-Nee;J. Differential Equations,1998

4. Spreading speeds and travelling waves in a delayed population model with stage structure on a 2D spatial lattice;Cheng, Cui-Ping;IMA J. Appl. Math.,2008

5. Persistence of bistable waves in a delayed population model with stage structure on a two-dimensional spatial lattice;Cheng, Cui-Ping;Nonlinear Anal. Real World Appl.,2012

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Spreading dynamics of a discrete Nicholson's blowflies equation with distributed delay;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-05-12