Wave propagation and its stability for a class of discrete diffusion systems

Zhixian Yu, Cheng Hsiung Hsu

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

This paper is devoted to investigating the wave propagation and its stability for a class of two-component discrete diffusive systems. We first establish the existence of positive monotone monostable traveling wave fronts. Then, applying the techniques of weighted energy method and the comparison principle, we show that all solutions of the Cauchy problem for the discrete diffusive systems converge exponentially to the traveling wave fronts when the initial perturbations around the wave fronts lie in a suitable weighted Sobolev space. Our main results can be extended to more general discrete diffusive systems. We also apply them to the discrete epidemic model with the Holling-II-type and Richer-type effects.

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文章編號194
期刊Zeitschrift fur Angewandte Mathematik und Physik
71
發行號6
DOIs
出版狀態已出版 - 1 12月 2020

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