Some results on global stability of a predator-prey system

Kuo Shung Cheng*, Sze Bi Hsu, Song-Sun Lin

*此作品的通信作者

研究成果: Article同行評審

101 引文 斯高帕斯(Scopus)

摘要

In this paper we derive some results to ensure the global stability of a predator-prey system. The results cover most of the models which have been proposed in the ecological literature for predator-prey systems. The first result is very geometric and it is very easy to check from the graph of prey and predator isoclines. The second one is purely algebraic, however, it covers the defects of the first one especially in dealing with Holling's type-3 functional response in some sense. We also discuss the global stability of Kolmogorov's model. Some examples are presented in the discussion section.

原文American English
頁(從 - 到)115-126
頁數12
期刊Journal of Mathematical Biology
12
發行號1
DOIs
出版狀態Published - 5月 1982

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