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.
Ben Ali, H., Mokni, K. & Ch-Chaoui, M. (2023). Controlling chaos in a discretized prey-predator system. International Journal of Nonlinear Analysis and Applications, 14(1), 1385–1398. https://doi.org/10.22075/ijnaa.2022.27475.3642
MLA
Ben Ali, H., Mokni, K., & Ch-Chaoui, M. "Controlling chaos in a discretized prey-predator system", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1385–1398. doi: 10.22075/ijnaa.2022.27475.3642
HARVARD
Ben Ali, H., Mokni, K., & Ch-Chaoui, M. (2023). 'Controlling chaos in a discretized prey-predator system', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1385–1398. doi: 10.22075/ijnaa.2022.27475.3642
CHICAGO
Ben Ali, H., Mokni, K. & Ch-Chaoui, M., "Controlling chaos in a discretized prey-predator system." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1385–1398, doi: 10.22075/ijnaa.2022.27475.3642
VANCOUVER
Ben Ali H., Mokni K., Ch-Chaoui M. Controlling chaos in a discretized prey-predator system. IJNAA. 2023;14(1):1385–1398. doi: 10.22075/ijnaa.2022.27475.3642
International Journal of Nonlinear Analysis and Applications