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Global attractivity of the periodic Kolmogorov system

Published online by Cambridge University Press:  17 February 2009

Xianzhang Wen  and
Zhicheng Wang
Xianzhang Wen
Affiliation:
Department of Mathematics, Hunan Normal University, 410081 Changsha, Hunan, P. R. China Department of Applied Mathematics, Hunan University, 410082 Changsha, Hunan, P. R. China; e-mail: zcwang@hnu.net.cn.
Zhicheng Wang
Affiliation:
Department of Applied Mathematics, Hunan University, 410082 Changsha, Hunan, P. R. China; e-mail: zcwang@hnu.net.cn.
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Abstract

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We study a periodic Kolmogorov model with m predators and n prey. By means of the comparison theorem and a Liapunov function, a set of easily verifiable sufficient conditions that guarantee the existence, uniqueness and global attractivity of the positive periodic solution is obtained. Finally, some suitable applications are given to illustrate that the conditions of the main theorem are feasible.

Type
Research Article
Information
The ANZIAM Journal , Volume 44 , Issue 4 , April 2003 , pp. 569 - 581
Copyright
Copyright © Australian Mathematical Society 2003

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