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Global asymptotic stability in $$n$$-species non-autonomous Lotka-Volterra competitive systems with infinite delays and feedback control. (English) Zbl 1081.92038
Summary: A non-autonomous Lotka-Volterra competition system with infinite delays and feedback control and without dominating instantaneous negative feedback is investigated. By means of a suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the system. Some new results are obtained.

##### MSC:
 92D40 Ecology 34K20 Stability theory of functional-differential equations 93D15 Stabilization of systems by feedback 34K25 Asymptotic theory of functional-differential equations
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