Article ID Journal Published Year Pages File Type
5011525 Communications in Nonlinear Science and Numerical Simulation 2017 31 Pages PDF
Abstract
We investigate the complex behavior and chaos control in a discrete-time prey-predator model. Taking into account the Leslie-Gower prey-predator model, we propose a discrete-time prey-predator system with predator partially dependent on prey and investigate the boundedness, existence and uniqueness of positive equilibrium and bifurcation analysis of the system by using center manifold theorem and bifurcation theory. Various feedback control strategies are implemented for controlling the bifurcation and chaos in the system. Numerical simulations are provided to illustrate theoretical discussion.
Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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