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Permanence and Almost Periodic Solution for an Enterprise Cluster Model Based on Ecology Theory with Feedback Controls on Time Scales

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  • Yuanhong Zhi
  • Zunling Ding
  • Yongkun Li

Abstract

We present a model with feedback controls based on ecology theory, which effectively describes the competition and cooperation of enterprise cluster in real economic environments. Applying the comparison theorem of dynamic equations on time scales and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and the existence of uniformly asymptotically stable almost periodic solution of the system are obtained.

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  • Yuanhong Zhi & Zunling Ding & Yongkun Li, 2013. "Permanence and Almost Periodic Solution for an Enterprise Cluster Model Based on Ecology Theory with Feedback Controls on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-14, October.
    • Handle: RePEc:hin:jnddns:639138
    DOI: 10.1155/2013/639138
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