Du, Yihong

Li, Fang

Zhou, Maolin

2021-10

<p>In Cao, Du, Li and Li [9], a nonlocal diffusion model with free boundaries extending the local diffusion model of Du and Lin [18] was introduced and studied. For Fisher-KPP type nonlinearities, its long-time dynamical behaviour is shown to follow a spreading-vanishing dichotomy. However, when spreading happens, the question of spreading speed was left open in [9]. In this paper we obtain a rather complete answer to this question. We find a threshold condition on the kernel function such that spreading grows linearly in time exactly when this condition holds, which is achieved by completely solving the associated semi-wave problem that determines this linear speed; when the kernel function violates this condition, we show that accelerated spreading happens.</p>

Journal de Mathematiques Pures et Appliquees, v.154, p. 30-66

1776-3371

0021-7824

https://hdl.handle.net/1959.11/31893

Elsevier Masson

Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries

Journal Article

Publication