# American Institute of Mathematical Sciences

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

## The existence of positive periodic solutions of a generalized

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

Received  November 2007 Revised  April 2008 Published  October 2008

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.
Citation: Meili Li, Maoan Han, Chunhai Kou. The existence of positive periodic solutions of a generalized. Mathematical Biosciences & Engineering, 2008, 5 (4) : 803-812. doi: 10.3934/mbe.2008.5.803
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