Bifurcation, chaos analysis and control in a discrete-time predator–prey system

The dynamical behavior of a discrete-time predator–prey model with modified Leslie–Gower and Holling’s type II schemes is investigated on the basis of the normal form method as well as bifurcation and chaos theory. The existence and stability of fixed points for the model are discussed. It is showed...

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Bibliographic Details
Published in:	Advances in difference equations Vol. 2019; no. 1; pp. 1 - 22
Main Authors:	Liu, Weiyi, Cai, Donghan
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 17.01.2019 Springer Nature B.V SpringerOpen
Subjects:	Analysis Bifurcation control Bifurcation theory Chaos control Chaos theory Computer simulation Control systems Difference and Functional Equations Discrete time systems Functional Analysis Local stability Marotto’s chaos Mathematical models Mathematics Mathematics and Statistics Neimark–Sacker bifurcation Numerical methods Ordinary Differential Equations Partial Differential Equations Predator-prey simulation Predator–prey model Neimark–Sacker bifurcation 34H10 34H20 37N25 39A28 Marotto’s chaos 34H15 Predator–prey model Chaos control Local stability Bifurcation control 37M20
ISSN:	1687-1847, 1687-1839, 1687-1847
Online Access:	Get full text
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