Dynamics of a reaction-diffusion SIRI model with relapse and free boundary

Qian Ding; Yunfeng Liu; Yuming Chen; Zhiming Guo

doi:10.3934/mbe.2020087

Mathematical Biosciences and Engineering (Jan 2020)

Dynamics of a reaction-diffusion SIRI model with relapse and free boundary

Qian Ding,
Yunfeng Liu,
Yuming Chen,
Zhiming Guo

Affiliations

Qian Ding: 1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China
Yunfeng Liu: 1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China
Yuming Chen: 2. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
Zhiming Guo: 1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China

DOI: https://doi.org/10.3934/mbe.2020087
Journal volume & issue: Vol. 17, no. 2
pp. 1659 – 1676

Abstract

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This paper is concerned with the free boundary problem for a reaction-diffusion SIRI model with relapse and bilinear incidence rate. After studying the (global) existence and uniqueness of solutions, we provide some sufficient conditions on the disease spreading-vanishing dichotomies for both cases with and without relapse.

Published in Mathematical Biosciences and Engineering

ISSN: 1551-0018 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Technology: Chemical technology: Biotechnology; Science: Mathematics
Website: https://www.aimspress.com/journal/MBE

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