Stability of traveling wave solutions for a spatially discrete SIS epidemic model

Cheng Hsiung Hsu, Jian Jhong Lin

研究成果: 雜誌貢獻期刊論文同行評審

6 引文 斯高帕斯(Scopus)

摘要

This paper is concerned with the stability of traveling wave solutions for a spatially discrete SIS epidemic model. We investigate the problem by using the weighted energy method and comparison principles for the Cauchy problem and initial-boundary value problem of the lattice differential equations. Our main results show that any solution of the Cauchy problem for the SIS model converges exponentially to the traveling wave solution provided that the initial perturbation around the traveling wave solution belongs to a suitable weighted Banach space.

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文章編號62
期刊Zeitschrift fur Angewandte Mathematik und Physik
70
發行號2
DOIs
出版狀態已出版 - 1 4月 2019

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