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Persistence and global stability for a delayed non-autonomous single species model with dispersion and feedback control. (English) Zbl 1231.34131

Summary: A delayed nonautonomous single-species model with dispersion and feedback control is investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and sufficient conditions are derived for the global stability of positive solutions of the system.

MSC:

34K25 Asymptotic theory of functional-differential equations
34K35 Control problems for functional-differential equations
92D25 Population dynamics (general)
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