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

The existence of positive periodic solutions of a generalized

Meili Li 1, , Maoan Han 2, and  Chunhai Kou 1,

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.
Keywords: positive periodic solution, generalized Gilpin-Ayala competition system, impulse, coincidence degree.
Mathematics Subject Classification: Primary: 34A37; Secondary: 34K15.
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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