Modelling the ecosystem of the Easter Island with delay differential equations

Abstract. The invasive species model presents the ecosystem of the Easter Island and describes the connections between three species: people, trees and rats. In 2008, Basener, Brooks, Radin and Wiandt presented an article, in which they created a mathematical model [1], [2]. The model was investigated in [6], too. In this work we suggest a new model in which discrete delay is involved. We investigate the equilibrium points and their stability.