Invasive Species Model with Linear Rat Harvesting on Easter Island

[摘要] The invasive species model describes the connections between three species: People, trees and rats. In 2008, Basener, Brooks, Radin and Wiandt presented an article in that, they created a mathematical model for such dynamical system. In this work we changed the model and investigated the equilibrium points and stability of the invasive species model with harvesting. We have shown that the system has a conditionally stable equilibrium point, in this case the three populations live together. We made numerical simulations, too, and saw the amount of the rats decrease because of the harvesting.

[关键词] Dynamical systems;Mathematical biology;Invasive species model;Nonlinear ODE system;StabilityMSC: 37N25;37N30;65M12;92B05;93D05