Stability analysis of traveling wave solutions for lattice reaction-diffusion equations

Cheng Hsiung Hsu, Jian Jhong Lin

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

In this work, we establish a framework to study the stability of traveling wave solutions for some lattice reaction-diffusion equations. The systems arise from epidemic, biological and many other applied models. Applying different kinds of comparison theorems, we show that all solutions of the Cauchy problem for the lattice differential equations converge exponentially to the traveling wave solutions provided that the initial perturbations around the traveling wave solutions belonging to suitable spaces. Our results can be applied to various discrete reaction-diffusion systems, e.g., the discrete multi-species Lotka-Volterra cooperative model, discrete epidemic model, three-species Lotka-Volterra competitive model, etc.

原文???core.languages.en_GB???
頁(從 - 到)1757-1774
頁數18
期刊Discrete and Continuous Dynamical Systems - Series B
25
發行號5
DOIs
出版狀態已出版 - 5 5月 2020

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