Stability, bifurcation and chaos control of a discretized Leslie prey-predator model

S. Akhtar, R. Ahmed, M. Batool, Nehad Ali Shah and Jae Dong Chung

Chaos, Solitons & Fractals, 2021, vol. 152, issue C

Abstract: For a variety of purposes, discrete-time models are superior to continuous-time models. Many techniques are introduced to discretize continuous-time models. In this paper, a non-standard finite difference scheme is used to discretize a continuous-time Leslie prey-predator model. We study the local stability of the fixed points and Neimark-Sacker bifurcation at the positive fixed point. Moreover, hybrid control technique is used to control chaos and bifurcation in the model at the positive fixed point. Numerical simulations are provided to illustrate the theoretical discussion.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006998

DOI: 10.1016/j.chaos.2021.111345

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