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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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© 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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