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On almost periodic processes in impulsive competitive systems with delay and impulsive perturbations. (English) Zbl 1170.45004

For the impulsive nonautonomous Lotka-Volterra system of integro-differential equations with infinite delay, sufficient conditions for the global exponential stability of the unique positive almost periodic solution of these systems are given.

MSC:

45J05 Integro-ordinary differential equations
92D40 Ecology
45G15 Systems of nonlinear integral equations
45M10 Stability theory for integral equations
45M15 Periodic solutions of integral equations
45M20 Positive solutions of integral equations
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