NDLI: Dynamics in numerics: On a discrete predator-prey model

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Content Provider	Springer Nature Link
Author	Huang, Yu Jiang, Xiamei Zou, Xingfu
Copyright Year	2008
Abstract	In this paper, we consider the dynamics of a discrete predator-prey model which is a result of discretization of the corresponding continuous Lotka-Volterra predator-prey model. Among the topis are equilibria and their stability, existence and stability of a period-2 orbit, as well the chaotic behavior of F. The chaos here is in the sense of topological horseshoe and is obtained for certain range of parameter values by applying a recent result from [5]. Our results are in contrast to the recent ones in [6] which claimed that if the predator-prey interaction is replaced by cooperative or competitive interaction, the discretization preserves the property of convergence to the equilibrium, regardless of the step size.
Starting Page	163
Ending Page	182
Page Count	20
File Format	PDF
ISSN	09713514
Journal	Differential Equations and Dynamical Systems
Volume Number	16
Issue Number	1-2
e-ISSN	09746870
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-05-16
Publisher Place	India
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Discrete predator-prey model Equilibrium Stability Periodic orbit Topological horseshoe Chaos Dynamical systems in biology General theory Population dynamics Computer Science Engineering Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Analysis

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Dynamics in numerics: On a discrete predator-prey model