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Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays. (English) Zbl 1065.92066

Summary: The principle aim of this paper is to explore the existence of periodic solutions with strictly positive components of generalized ecological competition systems governed by impulsive differential equations with infinite delays. Easily verifiable sufficient criteria are established. The approach is based on the coincidence degree theory and its related continuation theorem as well as some a priori estimates. Applications to some famous competition models, which have been widely studied in the literature, are presented also.

MSC:

92D40 Ecology
34K13 Periodic solutions to functional-differential equations
34A37 Ordinary differential equations with impulses
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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