Affiliation:
1. Department of Mathematics and Information Technology Yuncheng University Yuncheng China
2. Complex Systems Research Center Shanxi University Taiyuan China
3. Department of Mathematics and Statistics University of New Brunswick Fredericton New Brunswick Canada
Abstract
In this paper, we incorporate the dispersal of one species between two patches into a two‐species competition model. The dispersal process is assumed to involve time delay and population loss. We show that the dispersal rate and the loss during the dispersal jointly affect the stability and instability of model equilibria and induce the phenomena of multi‐stability and transient coexistence of both competing species in both patches.
Funder
Natural Sciences and Engineering Research Council of Canada
National Natural Science Foundation of China
Natural Science Foundation of Shanxi Province
Shanxi Scholarship Council of China
Subject
General Engineering,General Mathematics