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Asymptotic profiles of the endemic equilibrium of a diffusive SIS epidemic system with saturated incidence rate and spontaneous infection
  • Zhang Jialiang,
  • Cui Renhao
Zhang Jialiang
Harbin Normal University

Corresponding Author:jialiangzhangmath@163.com

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Cui Renhao
Harbin Normal University
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Abstract

An SIS epidemic reaction-diffusion model with saturated incidence rate and spontaneous infection is considered. We establish the existence of endemic equilibrium by using a fixed point theorem. We mainly investigate the effects of diffusion and saturation on asymptotic profiles of the endemic equilibrium. Our analysis shows that the spontaneous infection can enhance persistence of infectious disease.
21 Jan 2020Submitted to Mathematical Methods in the Applied Sciences
25 Jan 2020Submission Checks Completed
25 Jan 2020Assigned to Editor
08 Feb 2020Reviewer(s) Assigned
01 Jun 2020Review(s) Completed, Editorial Evaluation Pending
12 Jun 2020Editorial Decision: Revise Major
05 Jul 20201st Revision Received
05 Jul 2020Submission Checks Completed
05 Jul 2020Assigned to Editor
05 Jul 2020Reviewer(s) Assigned
05 Jul 2020Review(s) Completed, Editorial Evaluation Pending
11 Jul 2020Editorial Decision: Accept