Application of Homotopy Perturbation Method for Ecosystems Modelling

The HPM method can be considered as one of the new methods belonging to the general classification of perturbation methods. These methods deals with exact solvers for linear differential equations and approximative solvers for non linear equations. In this paper, we focus our attention on the generation of the decomposition steps to build a solver using the HPM method.We present how this method can be used in ecosystem modelling. We develop some solvers for prey-predator systems involving 2 or 3 populations