Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610241 | Journal of Differential Equations | 2015 | 33 Pages |
Abstract
In this paper, we study a nonlocal diffusion equation with a general diffusion kernel and delayed nonlinearity, and obtain the existence, nonexistence and uniqueness of the regular traveling wave solutions for this nonlocal diffusion equation. As an application of the results, we reconsider some models arising from population dynamics, epidemiology and neural network. It is shown that there exist regular traveling wave solutions for these models, respectively. This generalized and improved some results in literatures.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zhaoquan Xu, Dongmei Xiao,