文章基本信息

标题：Dynamical Properties of a Delay Prey-Predator Model with Disease in the Prey Species Only
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作者：Xiangyun Shi ; Xueyong Zhou ; Xinyu Song 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2010
卷号：2010
DOI：10.1155/2010/196204
出版社：Hindawi Publishing Corporation
摘要：A three-dimensional ecoepidemiological model with delay is considered. We first investigate the existence and stability of the equilibria. We then study the effect of the time delay on the stability of the positive equilibrium. The existence of a Hopf bifurcation at the positive equilibrium is obtained through the study of an exponential polynomial equation with delay-dependent coefficients. Numerical simulation with a hypothetical set of data has been carried out to support the analytical findings.