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具有Ⅳ类功能反应和变时滞的捕食系统的持久性

Persistence for a Predator-prey System with Ⅳ-type Functional Response and Time-varying Delay
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摘要 本文研究一类非自治具有Holling Ⅳ类功能性反应和时变时滞的捕食者-食饵系统的持久性,利用比较定理结合微分不等式的一些分析技巧,得到了保证系统永久持续生存的新的充分条件,并且推广和改进了已有文献的一些结果。 The persistence of a non- autonomous predator- prey system with HoUing Ⅳ- type functional response and time - varying delay is studied. By applying the comparative theorem combining some analytical technique about differential inequality, some new sufficient conditions for guaranteeing the permanence of the system are obtained which extend and improve the results obtained in the literature.
出处 《长春师范学院学报(自然科学版)》 2009年第4期10-13,共4页 Journal of Changchun Teachers College
关键词 Holling-Ⅳ 时变时滞 捕食者-食饵 永久持续生存 Holling Ⅳ time - varying delay predator - prey permanent
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  • 1余长春,李培峦,曾宪武.具有IV类功能反应的非自治捕食系统的持续性和周期解[J].数学杂志,2006,26(6):619-622. 被引量:10
  • 2Chen Fengde.Permanence and global stability of nonautonomous Lotka- Volterra system with predator- prey and deviating arguments [ J]. Appl. Math. Comput, 2006,173:1082 - 1100.
  • 3Yang Xitao. Uniform persistenece for a predator- prey system with delays [J] .Appl.Math. ComPut,2006,173:523 - 534.
  • 4Zhao Xiaoqiang. Dynamical Systems in Population Biology[M] .New York:Springer- Verlag,2003.

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