Study of solutions of Commensalism Models by Homotopy-Perturbation Method (HPM)

Abstract: In this article, He's Homotopy-perturbation method is used to figure a close estimation to the solution of an ecological model having commensalism collaboration nature between two communicating species, which is given by the system of first order non-linear coupled ordinary differential equations governing in the problem. The numerical results obtained by employing the Homotopy-Perturbation Method (HPM) and the classical fourth order Runge-Kutta (RK) method technique are compared. The HPM method is straight forward, highly effective and a promising tool for the approximate analytical solution of non-linear ODE's. A few plots are introduced to emphasis the reliability of HPM.