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Mathematical Biosciences and Engineering

2020, Volume 17, Issue 2: 1659-1676. doi: 10.3934/mbe.2020087
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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
  • Received: 27 June 2019 Accepted: 01 December 2019 Published: 10 December 2019

  • 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.

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

    Related Papers:

  • 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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