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Asymptotic behaviour of a nonautonomous cooperative system

Published online by Cambridge University Press:  17 February 2009

Zhu Hongliang  and
Cui Jingan
Zhu Hongliang
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China.
Cui Jingan
Affiliation:
School of Math. and Computer Sci., Nanjing Normal University, Nanjing 210097, P. R. China.
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Abstract

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This paper considers a nonautonomous cooperative system, in which all the parameters are time-dependent and asymptotically approach periodic functions. We prove that under some appropriate conditions any positive solutions of the system asymptotically approach the unique positive periodic solution of the corresponding periodic system.

Type
Research Article
Information
The ANZIAM Journal , Volume 42 , Issue 4 , April 2001 , pp. 561 - 568
Copyright
Copyright © Australian Mathematical Society 2001

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