Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay-Reference-Cited by-同舟云学术

Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay

Published:2022-01-01 Issue:1 Volume:20 Page:1451-1469
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Wu Xin¹,Ma Zhaohai²

Affiliation:

1. School of Sciences, East China JiaoTong University , Nanchang , 330013 , P.R. China

2. School of Science, China University of Geosciences , Beijing , 100083 , P.R. China

Abstract

Abstract This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al. [Traveling waves for a nonlocal dispersal SIR model with delay and external supplies, Appl. Math. Comput. 247 (2014), 723–740]. We prove that the traveling wave solution is exponentially stable when the initial perturbation around the traveling wave is relatively small in a weighted norm. The time decay rate is also obtained by weighted-energy estimates.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0508/pdf

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