Mathematical Biosciences and Engineering, 2008, 5(4): 803-812. doi: 10.3934/mbe.2008.5.803

Primary: 34A37; Secondary: 34K15

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The existence of positive periodic solutions of a generalized

1. Department of Applied Mathematics, Donghua University, Shanghai 201620
2. Department of Mathematics, Shanghai Normal University, Shanghai 200234

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.
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