Dynamics of a Nonlocal Diffusive and Infectious SIR Epidemic Model with Double Free Boundaries

• Hanxiang Bao ^[1] ; Mingxin Wang ^[1]
  1. [1] Henan Polytechnic University

     Henan Polytechnic University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 2, 2025
• Idioma: inglés
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• Resumen

  • This paper concerns a nonlocal diffusive SIR epidemic model with nonlocal infectious and double free boundaries, which can be used to describe the spreading of infectious diseases. This model is a strongly coupled nonlocal diffusion system in some sense.

    We mainly study criteria for spreading and vanishing, and the long time behaviors.

    In addition to the usual Basic Reproduction Number R0 = k(a−β) b(a+γ ), we also discover another number R0 k a−β b , ·, (−h0, h0) , and find that these two numbers play a crucial role in determining both spreading and vanishing.