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

1 School of Mathematics and Information Sciences, Guangzhou University, Guangzhou, 510006, China
2 Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada

Special Issues: Spatial dynamics for epidemic models with dispersal of organisms and heterogenity of environment

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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Keywords relapse; reaction-diffusion equation; free boundary; spreading-vanishing dichotomy

Citation: Qian Ding, Yunfeng Liu, Yuming Chen, Zhiming Guo. Dynamics of a reaction-diffusion SIRI model with relapse and free boundary. Mathematical Biosciences and Engineering, 2020, 17(2): 1659-1676. doi: 10.3934/mbe.2020087

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