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Global attractivity in a periodic competition system with feedback controls. (English) Zbl 0859.34061

The author considers a periodic competition model with delay and feedback controls. Using techniques involving differential inequalities and a Lyapunov function, the author establishes some sufficient conditions for the existence of a globally asymptotically stable periodic solution.
Reviewer: J.Wu (North York)

MSC:

34K20 Stability theory of functional-differential equations
92D25 Population dynamics (general)
93D15 Stabilization of systems by feedback
34C25 Periodic solutions to ordinary differential equations
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