Interplay of resource distributions and diffusion strategies for spatially heterogeneous populations

Document Type: Research Paper

Author

Department of Mathematics, University of Dhaka, Dhaka 1000, Bangladesh

10.22124/jmm.2019.11734.1208

Abstract

In this paper, we consider a reaction-diffusion competition model describing the interactions between two species in a heterogeneous environment. Specifically, we study the impact of diffusion strategies on the outcome of competition between two populations while the species are distributed according to their respective carrying capacities. The two species differ in the diffusion strategies they employ as well as in their asymmetric growth intensities. In case of weak competition, both populations manage to coexist and there is an ideal free pair. If the resources are shared partially then one species emerge as the sole winner and the other goes extinct. The results have been verified and illustrated numerically.

Keywords