Wang, Rong

Du, Yihong

2022-08-05

<p>In this paper, we examine the long-time dynamics of an epidemic model whose diffusion and reaction terms involve nonlocal effects described by suitable convolution operators. The spreading front of the disease is represented by the free boundaries in the model. We show that the model is well-posed, its long-time dynamical behaviour is characterised by a spreading-vanishing dichotomy, and we also obtain sharp criteria to determine the dichotomy. Some of the nonlocal effects in the model pose extra difficulties in the mathematical treatment, which are dealt with by introducing new approaches. The model can capture accelerated spreading, and its spreading rate will be discussed in a subsequent work.</p>

Journal of Differential Equations, v.327, p. 322-381

1090-2732

0022-0396

https://hdl.handle.net/1959.11/56423

en

Academic Press

Long-time dynamics of a nonlocal epidemic model with free boundaries: Spreading-vanishing dichotomy

Journal Article

Publication