Document Type : Research Paper

Authors

• Halima Ben Ali
• Karima Mokni
• Mohamed Ch-Chaoui

Faculte Polydisciplinaire Khouribga, MRI Laboratory, Sultan moulay Slimane University, BP: 145 Khouribga principale, 25000, Kingdom of Morocco

Abstract

In this work, we have considered a discrete-time discrete prey-predator. The discrete-time model is formulated in terms of difference equations and is obtained by applying a nonstandard finite difference scheme of Mickens type. We have discussed the existence and the local dynamics of the fixed points. Analytically, we demonstrated that the system undergoes a Neimark-Sacker bifurcation. Under a parametric condition, all chaotic features are justified numerically. Finally, we use two chaos control strategies to control the Neimark-Sacker bifurcation.

Keywords

• Discrete model
• Asymptotic stability
• Bifurcation analysis
• Chaos control