Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418598 | Journal of Mathematical Analysis and Applications | 2014 | 13 Pages |
Abstract
Equations with non-local dispersal have been widely used as models in biology. In this paper we focus on logistic models with non-local dispersal, for both single and two competing species. We show the global convergence of the unique positive steady state for the single equation and derive various properties of the positive steady state associated with the dispersal rate. We investigate the effects of dispersal rates and inter-specific competition coefficients in a shadow system for a two-species competition model and completely determine the global dynamics of the system. Our results illustrate that the effect of dispersal in spatially heterogeneous environments can be quite different from that in homogeneous environments.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fang Li, Yuan Lou, Yang Wang,