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

Hanxiang Bao, Mingxin Wang

• 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.