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Permanence and almost periodic solutions of a discrete ratio-dependent Leslie system with time delays and feedback controls. (English) Zbl 1253.93144

Summary: We consider a discrete almost periodic ratio-dependent Leslie system with time delays and feedback controls. Sufficient conditions are obtained for the permanence and global attractivity of the system. Furthermore, by using an almost periodic functional Hull theory, we show that the almost periodic system has a unique globally attractive positive almost periodic solution.

MSC:

93E20 Optimal stochastic control
92D25 Population dynamics (general)
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