Numerical analysis of predator-prey model in presence of toxicant by a novel approach

Abstract

It is assumed in this paper that the environmental toxicant affects both prey and predator population. We consider the Holling Type-I predator-prey model and stage-structured predator-prey model in presence of environmental toxicant in the form of Volterra integro-differential equations. We solve the system of equations by a novel approach Trapezoidal Base Homotopy Perturbation Method. Using the dynamical behaviour of the systems as a validating tool, we validate the above mentioned method as an efficient method to solve Volterra integro-differential predator-prey model.