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

Cheng Hsiung Hsu, Jian Jhong Lin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

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.

Original languageEnglish
Article number62
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume70
Issue number2
DOIs
StatePublished - 1 Apr 2019

Keywords

  • Comparison principle
  • Traveling wave solutions
  • Weighted energy method

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