Persistence and time periodic positive solutions of doubly nonlocal Fisher-KPP equations in time periodic and space heterogeneous media
arXiv:1808.07162
Abstract
In this paper, we investigate the asymptotic dynamics of Fisher-KPP equations with nonlocal dispersal operator and nonlocal reaction term in time periodic and space heterogeneous media. We first show the global existence and boundedness of nonnegative solutions, and then obtain some sufficient conditions ensuring the uniform persistence. In particular, we study the existence, uniqueness and global stability of positive time periodic solutions under several different conditions.
34 pages
References in corpus (5)
- Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
- Traveling waves and long-time behavior in a doubly nonlocal Fisher-KPP equation
- Global stability in a nonlocal reaction-diffusion equation
- Doubly nonlocal Fisher-KPP equation: Existence and properties of traveling waves
- Spectral theory for nonlocal dispersal operators with time periodic indefinite weight functions and applications