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2014 Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior
Chaoqun Xu, Sanling Yuan
Abstr. Appl. Anal. 2014(SI66): 1-8 (2014). DOI: 10.1155/2014/568943


A special predator-prey system is investigated in which the prey population exhibits herd behavior in order to provide a self-defense against predators, while the predator is intermediate and its population shows individualistic behavior. Considering the fact that there always exists a time delay in the conversion of the biomass of prey to that of predator in this system, we obtain a delayed predator-prey model with square root functional response and quadratic mortality. For this model, we mainly investigate the stability of positive equilibrium and the existence of Hopf bifurcation by choosing the time delay as a bifurcation parameter.


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Chaoqun Xu. Sanling Yuan. "Stability and Hopf Bifurcation in a Delayed Predator-Prey System with Herd Behavior." Abstr. Appl. Anal. 2014 (SI66) 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022627
MathSciNet: MR3198213
Digital Object Identifier: 10.1155/2014/568943

Rights: Copyright © 2014 Hindawi


Vol.2014 • No. SI66 • 2014
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