Analysis of some characteristic parameters in an invasive species model

Abstract. In this article we expand the model first proposed by Basener et al. in [3] describing the dynamics and ecological disaster of Easter Island. We examine how the choice of two parameters (the number of regions and the effect of rats on the reproduction of trees) changes the stability of the system. We state some propositions about the stability region, and then draw it using numerical methods. Then we compare our results to the original choice by Basener et al. in [3].