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The GlobalStability of Predator-Prey System of Gause-Type with Holling Ⅲ Functional Response
作者单位:College of Mathematics and Computer Sicence, Wuhan University, Wuhan 430072,China  
摘    要:

收稿时间:2000-04-17

The global stability of predator-prey system of Gause-type with Holling III functional response
Feng Jian-wen,Zen Xian-wu. The global stability of predator-prey system of Gause-type with Holling III functional response[J]. Wuhan University Journal of Natural Sciences, 2000, 5(3): 271-277. DOI: 10.1007/BF02830133
Authors:Feng Jian-wen  Zen Xian-wu
Affiliation:(1) College of Mathematics and Computer Sicence, Wuhan University, 430072 Wuhan, China
Abstract:This paper deals with the question of global stability of the positive locally asymptotically stable equilibrium in a class of predator-prey system of Gause-type with Holling III functional response. The Dulac's criterion is applied and liapunov functions are constructed to establish the global stability. Foundation item: Supported by the National Natural Science Foundation of China (19531070) Biography: Feng Jian-wen (1964-), male, Ph. D candidate, research interests: the qualitative theory and bifurcation theory of ODE.
Keywords:global stability  functional response  predtor-prey system  limit cycle
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