Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect

R. Ahmed, S. Akhtar, U. Farooq, S. Ali

Abstract


The current investigation focuses on the dynamics of a discrete-time predator-prey system with additive Allee effect. Discretization is accomplished by the use of a piecewise constant argument approach of differential equations. Firstly, we studied the existence and topological classification of equilibrium points. We then investigated existence and direction of period-doubling and Neimark-Sacker bifurcations in the system. Moreover, to control the chaos caused by bifurcation, we employ a hybrid control technique. Finally, all theoretical results are justified numerically.

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Published: 2023-01-23

How to Cite this Article:

R. Ahmed, S. Akhtar, U. Farooq, S. Ali, Stability, bifurcation, and chaos control of predator-prey system with additive Allee effect, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 9

Copyright © 2023 R. Ahmed, S. Akhtar, U. Farooq, S. Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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