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# The existence of positive periodic solutions of a generalized

• In this paper, the existence of positive periodic solutions of a class of periodic $n$-species Gilpin-Ayala impulsive competition systems is studied. By using the continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions is obtained. Our results are general enough to include some known results in this area.
Mathematics Subject Classification: Primary: 34A37; Secondary: 34K15.

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