ANZIAM J.
44 (2003), 569-581
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Global attractivity of the periodic Kolmogorov system
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Xianzhang Wen
Department of Mathematics
Hunan Normal University
410081 Changsha
Hunan
P. R. China
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Zhicheng Wang
Department of Applied Mathematics
Hunan University
410082 Changsha
Hunan
P. R. China
zcwang@hnu.net.cn
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Abstract
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We study a periodic Kolmogorov model with
 predators and
 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.
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