Global Stability and Bifurcation Analysis in a Discrete-Time Two Predator-One Prey Model with Michaelis-Menten Type Prey Harvesting

This article studies a discrete-time Leslie-Gower two predator-one prey system with Michaelis-Menten type harvesting. Positivity and boundedness of the model solution are investigated. Existence stability fixed points examined. Using an iteration scheme comparison principle difference equations, we find out sufficient condition for global positive point. It is shown that criterion Neimark-Sacker bifurcation can be developed. observed behaves in chaotic manner when specific set parameters chosen, which regulated by hybrid control method. Examples provided to illustrate our conclusions.