### Mathematical Biosciences and Engineering

2008, Issue 4: 803-812. doi: 10.3934/mbe.2008.5.803

# The existence of positive periodic solutions of a generalized

• Received: 01 November 2007 Accepted: 29 June 2018 Published: 01 October 2008
• MSC : Primary: 34A37; Secondary: 34K15

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

### Related Papers:

• 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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沈阳化工大学材料科学与工程学院 沈阳 110142

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