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Mathematical Problems in Engineering
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Stability and Hopf Bifurcation of a Predator‐Prey Model with Distributed Delays and Competition Term

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2014 English Publisher:WileyJournal:Mathematical Problems in Engineering, volume 2,014 (issn: 1024-123X, eissn: 1563-5147, Copyright policy )
Authors: Lv-Zhou Zheng;

doi: 10.1155/2014/428523

Stability and Hopf Bifurcation of a Predator‐Prey Model with Distributed Delays and Competition Term

Abstract

A class of predator‐prey system with distributed delays and competition term is considered. By considering the time delay as bifurcation parameter, we analyze the stability and the Hopf bifurcation of the predator‐prey system. According to the theorem of Hopf bifurcation, some sufficient conditions are obtained for the local stability of the positive equilibrium point.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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