Solution of the prey and predator problem by homotopy perturbation method

摘要

In this article the problem of prey and predator is presented and the homotopy perturbation method is employed to compute an approximation to the solution of the system of nonlinear Volterra differential equations governing on the problem. The results are compared with the results using the Adomian decomposition and the power series methods. Some plots are presented to show the populations of the prey and the predator versus time for illustrating the reliability and simplicity of the method.