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一类具相互干扰的Leslie捕食与被捕食系统的定性分析 被引量:2

Qualitative Analysis of A Leslie Predator-prey System with Mutual Interference
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摘要 研究一类具有相互干扰的Leslie捕食与被捕食周期系统,得到该系统持久的充分条件以及正周期解的存在且全局稳定的充分条件. A Leslie predator - prey model with mutual interferenc is considered. It is shown that the system is pennant under some appropriate conditions. The sufficient conditions of the existence and positive periodic solution are obtained.
作者 潘红卫
出处 《长沙大学学报》 2005年第5期18-20,共3页 Journal of Changsha University
关键词 Leslie捕食与被捕食模型 相互干扰 持久性 正周期解 全局渐近稳定性 Leslie predator - prey model mutual interference persistence positive periodic solution global asymptotic stability
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参考文献4

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同被引文献21

  • 1高艳玲,崔国忠.一类具有Holling Ⅲ型功能反应的捕食与被捕食系统的定性分析[J].信息工程大学学报,2005,6(2):19-22. 被引量:1
  • 2杨秀香.具有Holling功能性反应的捕食—食饵两种群同时捕获模型分析[J].渭南师范学院学报,2006,21(2):13-16. 被引量:2
  • 3郭红建.一类具有相互干扰的两种群捕食系统[J].信阳师范学院学报(自然科学版),2006,19(3):255-257. 被引量:5
  • 4陈兰荪.数学生态学模型与研究方法[M].北京:科学出版社,1991..
  • 5ZHAO Y Z. Global behavior for a diffusive predator-prey system with Holling type II functional response [ J ]. Boundary Value Problems, 2012, 2012: 111.
  • 6ARDITI R, GINZBURG L R. Coupling in predator-prey dynamics: ratio-dependence [ J]. Journal of The Oretical Biolo- gy, 1989, 139: 311-326.
  • 7LESLIE P H, GOWER J C. The properties of a stochastic model for the predator-prey type of interaction between two spe- cies [J]. Biometrica, 1960, 47: 219-234.
  • 8CAO X T, CHEN L S. A note on the uniqueness of limit cycles in two species predator -prey system [ J ]. Ann of Diff Eqs, 1986, 2(4) : 415-417.
  • 9HSU S B, HWANG T W. Global stability for a class of predator-prey systems [J]. SIAMJ Appl Math, 1995,55: 763- 783.
  • 10HASSEL M P. Metual interference between searching insect parasites [J]. Anita Ecol, 1971, 40: 473-486.

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