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一个带有Holling IV功能反应的半比率依赖捕食-食饵系统周期解的存在性 被引量:2

Existence of periodic solution for a semi-ratio-dependent predator-prey system with Holling IV functional response
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摘要 应用重合度延拓定理,讨论一个带有Holling IV功能反应的半比率依赖捕食-食饵系统周期解的存在性. By using the continuation theorem of coincidence degree theory , the existence of a positive periodic solution for the semi-ratio-dependent predator-prey system with Holling Ⅳ functional response is established.
作者 卢春
出处 《高师理科学刊》 2008年第4期7-9,共3页 Journal of Science of Teachers'College and University
基金 黑龙江省教育厅科学技术研究项目(11531428)
关键词 半比率依赖捕食-食饵系统 HOLLING Ⅳ功能反应函数 周期解 semi-ratio-dependent predator-prey system Holling Ⅳ response function periodic solution
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参考文献5

  • 1Bush A W, Cook A E. The effect of time delay and growth rate inhibition in the bacterial treatment of wastewater[J]. J. Theor. Biol., 1976 ( 63 ): 385-395.
  • 2Cushing J B. The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model[J]. J. Tbeor. Biol., 1997 ( 36 ): 149-168.
  • 3Ruan S, Xiao D. Global analysis in a predator-prey system with nonmonotonic functional response[J]. SLAM J. Appl. Math., 2001 (61): 1445-1472.
  • 4Xiao D, Ruan S. Mulltiple bifurcations in a delayed predator-prey system with nonmonotonic functional response[J]. J. Differential Equations, 2001 (176): 494-510.
  • 5Gaines R E, MawhinJ L. Coincidence Degreeand Nonlinear Differential Equations[M]. Berlin: Springer-Verlag, 1977.

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