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

Qian Ding | Zendy; Yunfeng Liu | Zendy; YuMing Chen | Zendy; Zhiming Guo | Zendy

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

Author(s) -

Qian Ding,

Yunfeng Liu,

YuMing Chen,

Zhiming Guo

Publication year - 2019

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2020087

Subject(s) - uniqueness , dichotomy , diffusion , reaction–diffusion system , bilinear interpolation , mathematics , boundary (topology) , free boundary problem , incidence (geometry) , boundary value problem , mathematical analysis , physics , thermodynamics , geometry , statistics

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.

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