Computing the Allee Effect and Population Dynamics with Density Dependent Migeration Using Homotopy Perturbation Method

Abstract

Solutions of nonlinear models are of great importance and their significance has increased a lot. In given paper, the homotopy perturbation method (HPM) is implemented to show the numerical assumption of the population dynamics model with density-dependent migeration and the Allee effect. The resemblance of the numerical solutions attained by HPM with exact solution allows the order of this method. The results show applicability, accuracy and efficiency of HPM in solving the parabolic equation. HPM is effective for solving the transitary non-linear advection diffusion reaction equation.