Dynamics of a parabolic-ODE competition system in heterogeneous environments
Analysis of PDEs
2019-10-01 v1
Abstract
This work is concerned with the large time behavior of the solutions of a parabolic-ODE hybrid system, modeling the competition of two populations which are identical except their movement behaviors: one species moves by random dispersal while the other does not diffuse. We show that the non-diffusing population will always drive the diffusing one to extinction in environments with sinks. In contract, the non-diffusing and diffusing populations can coexist in environments without sinks.
Keywords
Cite
@article{arxiv.1909.13167,
title = {Dynamics of a parabolic-ODE competition system in heterogeneous environments},
author = {Yuan Lou and Rachidi B. Salako},
journal= {arXiv preprint arXiv:1909.13167},
year = {2019}
}