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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 | ||
| تاریخ دریافت: 28 خرداد 1401، تاریخ بازنگری: 05 مهر 1401، تاریخ پذیرش: 13 مهر 1401 | ||
| 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 | ||
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