Sustainability of a system of two competing prey and a predator in polluted environment

Abstract

In this study, a general model of interacting species consisting of two competing prey and a predator under the presence of pollution is formed. Criteria for the existence of equilibria and their (local and global) stability are derived. The conditions for persistence and bifurcation have also been derived. With the help of numerical simulation, it is shown how the change in the pollution level results in species extinction.