ANALISIS DINAMIKA MODEL PREDATOR-PREY TIPE LESLIE DENGAN RESPON FUNGSIONAL YANG MENINGKAT

Abstract

This article discusses the interaction between two populations namely prey and predators, which is then investigated using the Leslie type with an increased functional response. In the observed model, it is shown that the model has a predator-free equilibrium point and a positive equilibrium point. It is indicated that the model has saddle-type stability at the predator-free equilibrium point and several stability at the positive equilibrium point, one of which is global asymptote stability as determined using the Dulac function. Simulations of the model are carried out to describe the dynamics and stability of the equilibrium points using certain parameters.