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  • 标题:Dynamical Properties of a Delay Prey-Predator Model with Disease in the Prey Species Only
  • 本地全文:下载
  • 作者:Xiangyun Shi ; Xueyong Zhou ; Xinyu Song
  • 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.
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