Stability analysis of a discrete-time prey-predator population model with immigration

Abstract

In this paper, a discrete-time prey-predator population model with immigration which isobtained by implementing forward Euler’s scheme has been considered. The existence offixed points of the presented model has been investigated. Moreover, the stability analysis ofthe fixed points of the population model has been examined and the topological classificationof the fixed points of the model has been made. Moreover, the OGY feedback controlmethod is to implement to controlchaos caused by the Flip bifurcation. Finally, Flipbifurcation,chaos control strategy, and asymptotic stability of the only positive fixed pointare verifiedwith the help of numerical simulations.