Ping Liu, Yongkun Li
Abstract:
In this article, based on population ecology theory, we present a
competition and cooperation system of the enterprise cluster with
time delays and feedback controls. By using differential inequalities,
we obtain sufficient conditions for the permanence of the system,
which shows that the time delay, feedback control and initial production
have an influence on the persistent properties of the system.
We further interpret our result from the economic point of view.
Some suggestions about enterprise cluster are put forward through
the analysis of our results.
Submitted October 4, 2012. Published January 25, 2013.
Math Subject Classifications: 34C11, 91B55, 92D25, 93B52.
Key Words: Enterprise cluster; permanence; competition and cooperation model;
time delay; feedback control.
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Ping Liu Department of Mathematics, Yunnan University Kunming, Yunnan 650091, China email: liuping@ynu.edu.cn | |
Yongkun Li Department of Mathematics, Yunnan University Kunming, Yunnan 650091, China email: yklie@ynu.edu.cn |
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