Codimension-one bifurcation analysis and chaos of a discrete prey–predator system

Abstract

In this paper, we explore local dynamics at equilibrium points, the existence of bifurcation sets and codimension-one bifurcation analysis of a discrete prey–predator system with Holling type-II functional response. Further, OGY and Hybrid control strategies are utilized to control chaos in the under study discrete model due to the occurrence of Neimark–Sacker and flip bifurcations. Finally, numerical simulations are given to verify theoretical results.

Keywords

• Predator–prey model
• codimension-one bifurcations
• chaos
• non-standard scheme
• numerical simulation
• 70K50