文章基本信息

标题：Bifurcation analysis and chaos control in discrete-time modified Leslie–Gower prey harvesting model
本地全文：下载
作者：Muhammad Bilal Ajaz ; Umer Saeed ; Qamar Din 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2020
卷号：2020
期号：1
页码：1-24
DOI：10.1186/s13662-020-2498-1
出版社：Hindawi Publishing Corporation
摘要：We investigate the dynamical behavior of a modified Leslie–Gower prey–predator model with harvesting in prey population. In order to explore rich dynamics of the model, Euler approximation is implemented to obtain a discrete-time modified Leslie–Gower model. Existence of equilibria and their local asymptotic stabilities are carried out. Furthermore, with the help of bifurcation theory and center manifold theorem, existence and directions of period-doubling and Neimark–Sacker bifurcations are investigated at positive steady-state. In order to control chaos and bifurcations, the Ott–Grebogi–Yorke (OGY) method and the hybrid control strategy are introduced. Numerical simulations are also provided to illustrate the theoretical discussions.
关键词：Modified Leslie–Gower model ; Stability analysis ; Period-doubling bifurcation ; Neimark–Sacker bifurcation ; Chaos control ;