Codimension-Two Bifurcations of Fixed Points in a Class of Discrete Prey-Predator Systems

The dynamic behaviour of a Lotka-Volterra system, described by a planar map, is analytically and numerically investigated. We derive analytical conditions for stability and bifurcation of the fixed points of the system and compute analytically the normal form coefficients for the codimension 1 bifur...

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Bibliographic Details
Main Authors: R. Khoshsiar Ghaziani, W. Govaerts, C. Sonck
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/862494