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A nonlocal diffusion SIR epidemic model with nonlocal incidence rate and free boundaries
  • Yujuan Chen,
  • Li Zhou
Yujuan Chen
Nantong University

Corresponding Author:[email protected]

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Li Zhou
Nantong University
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This paper is concerned with the spreading or vanishing of an epidemic disease which is characterized by a nonlocal diffusion SIR model with nonlocal incidence rate and double free boundaries. We prove that the disease will vanish if the basic reproduction number R 0 < 1 , or the initial area h 0 , the initial datum S 0 , and the expanding ability µ are sufficiently small even that R 0 > 1 , and the disease will spread to the whole area if R 0 > 1 , when h 0 is suitably large or h 0 is small but µ is large enough. Moreover, we also show that the long-time asymptotic limit of the solution when vanishing happens.
14 Oct 2022Submitted to Mathematical Methods in the Applied Sciences
14 Oct 2022Submission Checks Completed
14 Oct 2022Assigned to Editor
25 Oct 2022Review(s) Completed, Editorial Evaluation Pending
26 Oct 2022Reviewer(s) Assigned
26 Jan 2023Editorial Decision: Revise Minor
01 Feb 20231st Revision Received
24 May 2023Submission Checks Completed
24 May 2023Assigned to Editor
24 May 2023Review(s) Completed, Editorial Evaluation Pending
25 May 2023Reviewer(s) Assigned
27 May 2023Editorial Decision: Accept