Controlling chaos in a discretized prey-predator system

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
10.22075/ijnaa.2022.27475.3642
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
International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 1
January 2023
Pages 1385-1398

  • Receive Date 18 June 2022
  • Revise Date 27 September 2022
  • Accept Date 05 October 2022

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