Dynamics of a three species syn-ecological ammensalsim model: A stochastic approach

Abstract

We study the three-species system in which the species of the first kind

is neutral to the species of the third kind

and ammensal to the species of the second kind.

We give an analytic analysis of the model. A collection of first-order nonlinear ordinary differential equations characterizes the model. The stability criteria of the interior equilibrium state are discussed. Additionally, an exact solution of the perturbed equations is determined. A stochastic process is used to illustrate the model stability. MatLab is used to do numerical simulation to support the analytic conclusions.