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Mathematical Biosciences and Engineering

2008, Volume 5, Issue 4: 803-812. doi: 10.3934/mbe.2008.5.803
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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
  • 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

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  • 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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  • © 2008 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

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