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The Global Stability of Predator-Prey System of Gause-Type with Holling Ⅲ Functional Response 被引量：1

The Global Stability of Predator-Prey System of Gause-Type with Holling Ⅲ Functional Response
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摘要 This paper deals with the questio n of global stability of the positive locally asymptotically stable equilibrium in a class of predator\|prey system of Gause\|typ e with Holling Ⅲ functional response. The Dulac's criterion is applied and lia punov functions are constructed to establish the global stability. This paper deals with the questio n of global stability of the positive locally asymptotically stable equilibrium in a class of predator\|prey system of Gause\|typ e with Holling Ⅲ functional response. The Dulac's criterion is applied and lia punov functions are constructed to establish the global stability.
作者 Feng Jian\|wen, Zen Xian\|wu College of Mathematics and Computer Sicence, Wuhan University, Wuhan 430072,China
出处 《Wuhan University Journal of Natural Sciences》 CAS 2000年第3期271-277,共7页 武汉大学学报（自然科学英文版）
基金 Supported by the National Natural Science Foundation of China(195 310 70 )
关键词 global stability functional response predtor\|prey system limit cycle global stability functional response predtor\|prey system limit cycle
分类号 O175.2 [理学—基础数学]
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参考文献2

  • 1Hsu Sze-Bi,Huang Tey-wei.Global Stability for a Class of Predator -prey System[].SIAM Journal on Applied Mathematics.1995
  • 2Hsu S B,Hubbell S P,Waltman P.Competing Predators[].SIAM Journal on Applied Mathematics.1978

同被引文献11

  • 1潘红卫.一类具相互干扰的Leslie捕食与被捕食系统的定性分析[J].长沙大学学报,2005,19(5):18-20. 被引量：2
  • 2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
  • 3ZHAO Y Z. Global behavior for a diffusive predator-prey system with Holling type II functional response [ J ]. Boundary Value Problems, 2012, 2012: 111.
  • 4ARDITI R, GINZBURG L R. Coupling in predator-prey dynamics: ratio-dependence [ J]. Journal of The Oretical Biolo- gy, 1989, 139: 311-326.
  • 5LESLIE 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.
  • 6CAO 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.
  • 7HSU S B, HWANG T W. Global stability for a class of predator-prey systems [J]. SIAMJ Appl Math, 1995,55: 763- 783.
  • 8HASSEL M P. Metual interference between searching insect parasites [J]. Anita Ecol, 1971, 40: 473-486.
  • 9LESLIE P H. Some further notes on the use of matrices in population mathematics [ J]. Biometrika, 1948, 35: 213- 245.
  • 10郭改慧,吴建华.一类捕食-食饵模型正解的存在性和惟一性[J].武汉大学学报（理学版）,2008,54(1):9-14. 被引量：9

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二级引证文献2

Wuhan University Journal of Natural Sciences
2000年 第3期

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