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BIFURCATION ANALYSIS OF A DELAYED PREDATOR-PREY MODEL OF PREY MIGRATION AND PREDATOR SWITCHING
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 Title & Authors
BIFURCATION ANALYSIS OF A DELAYED PREDATOR-PREY MODEL OF PREY MIGRATION AND PREDATOR SWITCHING
Xu, Changjin; Tang, Xianhua; Liao, Maoxin;
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 Abstract
In this paper, a class of delayed predator-prey models of prey migration and predator switching is considered. By analyzing the associated characteristic transcendental equation, its linear stability is investigated and Hopf bifurcation is demonstrated. Some explicit formulae for determining the stability and the direction of the Hopf bifurcation periodic solutions bifurcating from Hopf bifurcations are obtained by using the normal form theory and center manifold theory. Some numerical simulations for justifying the theoretical analysis are also provided. Finally, biological explanations and main conclusions are given.
 Keywords
predator-prey model;migration;switching;stability;Hopf bifurcation;
 Language
English
 Cited by
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Anti-periodic solutions for high-order cellular neural networks with mixed delays and impulses, Advances in Difference Equations, 2015, 2015, 1  crossref(new windwow)
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