Bifurcation analysis and chaos control in discrete-time eco–epidemiological models of pelicans at risk in the Salton Sea

被引：0
作者：
Din Q. [1 ]
Ishaque W. [1 ,2 ]
机构：
[1] Department of Mathematics, University of Poonch, Rawalakot
[2] Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad
来源：
International Journal of Dynamics and Control | 2020年 / 8卷 / 01期
关键词：
Chaos control; Neimark–Sacker bifurcation; Period-doubling bifurcation; Predator–prey-parasite model; Stability;
D O I：
10.1007/s40435-019-00508-x
中图分类号：
学科分类号：
摘要：
Parasites play vital role in dynamics of predator–prey interaction and regulating bio-diversity. We study qualitative behavior of two 3-dimensional discrete-time predator–prey-parasite models. Bifurcation analysis and chaos control are discussed by taking into account the study of an eco–epidemiological model of pelicans at risk in the Salton Sea. Discrete-time models are obtained with implementations of Euler’s forward scheme and piecewise constant argument for differential equations. Local asymptotic stability of equilibria is investigated, and explicit Hopf bifurcation and period-doubling bifurcation criteria are implemented to discuss emergence of both type of bifurcations at positive steady-states of discrete-time models. Moreover, some chaos control techniques are implemented for controlling chaotic behavior under the influence of bifurcations. Numerical simulations are provided to illustrate theoretical discussion. © 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
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页码：132 / 148
页数：16
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