Effect of Resource Based Exotic Goose Species on Native Plant Species Competing with Exotic Grass : A Model

In this paper, a mathematical model is proposed to study the effect of resource based exotic goose on a competitive system consisting of native plant population and exotic grass. The model includes four state variables viz., biomass of native plant, biomass of exotic grass, density of resource population and density of exotic goose. It is assumed in the model that the resource-based exotic goose consumes exotic grass and thereby indirectly favouring the growth of native plant. All the feasible equilibria of the model are analyzed analytically using stability theory and also the analytical results are supported by numerical example. Finally the criteria for the existence and extinction of native population has been discussed under the effect of exotic population.