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Lesile型时滞捕食系统的Hopf分支

Hopf bifurcation of Lesile type predator-prey system with time delay
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摘要 研究了自治的Lesile型具有时滞的2种群捕食系统正平衡点的稳定性,得到了稳定性对时滞长度的限制程度,讨论了该系统的Hopf分支现象,最后给出了一个例子进行验证。 The local stability properties of Lesile type two species predator-prey system with time delay is researched. As stability will impose restrictions on the length of time delay, Hopf bifurcation of the system is investigated. Finally, a example supporting the theoretical analysis is given.
出处 《河北科技大学学报》 CAS 2006年第2期107-109,共3页 Journal of Hebei University of Science and Technology
基金 国家自然科学基金资助项目(10471066)
关键词 捕食系统 时滞 HOPF分支 predator-prey system time delay Hopf bifurcation
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参考文献3

  • 1LESLIE P H,GOWER J C.The properties of a stochastic model for the predator-prey type of interaction between two species[J].Biometrika,1960,47(1):219-233.
  • 2BERETTA E,KUANG Y.Global analysis in some delayed ratio-dependent predator-prey systems[J].Nonlinear Analysis TMA,1998,32(3):381-408.
  • 3FREEDMAN H I,RAO HAIR SREE V.The trade-off between mutual interference and time lags in predator-prey system[J].Bull Math Biol,1983,45(12):991.

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