Dynamics of A Discrete-Time Ecogenetic Predator-Prey Model

Abstract

This article considers a discrete-time model of two genetically distinguished predator population and one prey population. The existence and nature of the boundary and positive fixed points are examined. The sufficient criterion for Neimark-Sacker bifurcation (NSB) is derived. It is observed that the system behaves in a chaotic way when a specific set of system parameters is selected, which are controlled by a hybrid control method. Examples are presented to illustrate our conclusions.