Dynamical Behavior of An Ecological System with Diverse Functional Response

Abstract

he purpose of this work is to study the dynamical behavior of ecological

system model of two predator-one prey with diverse functional response, the

first predator functional response is Beddington –De Angelis, while the

second predator functional response is Holling type II mathematical features

have been studied thoroughly, the system have local and global stability

when especial conditions are met had been proved respectively, the system

has no saddle node bifurcation but transcritical bifurcation and Pitchfork

bifurcation are satisfied while Hopf bifurcation dose not occur, numerical

illustrations are performed finally in order to set the applicability of the

model under consideration.