Cao, Jia-Feng

Du, Yihong

Li, Fang

Li, Wan-Tong

2019

We introduce and study a class of free boundary models with "nonlocal diffusion", which are natural extensions of the free boundary models in [16]and elsewhere, where “local diffusion” is used to describe the population dispersal, with the free boundary representing the spreading front of the species. We show that this nonlocal problem has a unique solution defined for all time, and then examine its long-time dynamical behavior when the growth function is of Fisher-KPP type. We prove that a spreading-vanishing dichotomy holds, though for the spreading-vanishing criteria significant differences arise from the well known local diffusion model in [16].

Journal of Functional Analysis, 277(8), p. 2772-2814

1096-0783

0022-1236

https://hdl.handle.net/1959.11/28570

Elsevier Inc

The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries

Journal Article

Publication