Controlling chaos in a discretized prey-predator system

	Controlling chaos in a discretized prey-predator system
International Journal of Nonlinear Analysis and Applications
مقاله 107، دوره 14، شماره 1، فروردین 2023، صفحه 1385-1398 اصل مقاله (724.1 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27475.3642
نویسندگان
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
چکیده
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.
کلیدواژه‌ها
Discrete model؛ Asymptotic stability؛ Bifurcation analysis؛ Chaos control
آمار تعداد مشاهده مقاله: 17,928 تعداد دریافت فایل اصل مقاله: 12,673

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