Журнал прикладной и вычислительной математики

Invasive Species Model with Linear Rat Harvesting on Easter Island

Abstract

Sebestyen GS and Farago I

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.