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In this paper, a discrete-time prey-predator model with Allee effect is proposed. The parametric conditions for local asymptotic stability of steady-states are investigated. Moreover, we discuss the existence and directions… Click to show full abstract
In this paper, a discrete-time prey-predator model with Allee effect is proposed. The parametric conditions for local asymptotic stability of steady-states are investigated. Moreover, we discuss the existence and directions of period-doubling and Neimark-Sacker bifurcations with the of help center manifold theorem and bifurcation theory. In order to control chaos due to emergence of Neimar-Sacker bifurcation, we apply OGY feedback control method and the hybrid control methodology is also implemented. Numerical simulations are provided to illustrate theoretical discussion.
Journal Title: International Journal of Dynamics and Control
Year Published: 2018
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