Stability and Bifurcation Analysis for a Predator-Prey Model with Discrete and Distributed Delay

We propose a two-dimensional predatory-prey model with discrete and distributed delay. By the use of a new variable, the original two-dimensional system transforms into an equivalent three-dimensional system. Firstly, we study the existence and local stability of equilibria of the new system. And, b...

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Bibliographic Details
Main Authors: Ruiqing Shi, Junmei Qi, Sanyi Tang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/454097