Application of homotopy perturbation method to nonlinear fractional population dynamics models

Abstract

The article presents the solutions of nonlinear fractional population dynamics models with the help of analytical method of nonlinear problem called the homotopy perturbation method (HPM). The nonlinear models considered are the multi-species Lotka-Volterra equations. The numerical solutions show that only a few iterations are needed to obtain accurate approximate solutions. The method performs extremely well in terms of efficiency and simplicity to solve this model.