Complex Dynamics and Chaos Control of a Discrete-Time Predator-Prey Model

Author:

Ahmed Rizwan1ORCID,Rafaqat Muhammad2,Siddique Imran3ORCID,Arefin Mohammad Asif4ORCID

Affiliation:

1. Department of Mathematics, Air University Islamabad Multan Campus, Multan, Pakistan

2. Department of Mathematics and Statistics, University of Lahore, Lahore, Pakistan

3. Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan

4. Department of Mathematics, Jashore University of Science and Technology, Jashore 7408, Bangladesh

Abstract

The objective of this study is to investigate the complexity of a discrete predator-prey system. The discretization is achieved using the piecewise constant argument method. The existence and stability of equilibrium points, as well as transcritical and Neimark–Sacker bifurcations, are all explored. Feedback and hybrid control methods are used to control the discrete system’s bifurcating and fluctuating behavior. To validate the theoretical conclusions, numerical simulations are performed. The findings of the study suggested that the discretization technique employed in this investigation preserves bifurcation and displays more effective dynamic consistency in comparison to the Euler method.

Publisher

Hindawi Limited

Subject

Modeling and Simulation

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