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Periodic Solutions Of A Discrete Time Nonautonomous Two-Species Mutualistic System With Delays

Author

Listed:
  • ZHIJUN LIU

    (Department of Applied Mathematics, Dalian University of Technology, 116024 Dalian Liaoning, China;
    Department of Mathematics, Hubei Institute for Nationalities, 445000 Enshi Hubei, China)

  • LANSUN CHEN

    (Department of Applied Mathematics, Dalian University of Technology, 116024 Dalian Liaoning, China)

Abstract

We establish a discrete time non-autonomous two-species mutualistic system with delays by considering the influence of many generations on the density of species population. With the help of the method of coincidence degree and some techniques, an easily verifiable sufficient condition is derived for the existence of at least one positive periodic solution of the above system. Biological interpretations of the main result are also given.

Suggested Citation

  • Zhijun Liu & Lansun Chen, 2006. "Periodic Solutions Of A Discrete Time Nonautonomous Two-Species Mutualistic System With Delays," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 9(01n02), pages 87-98.
    • Handle: RePEc:wsi:acsxxx:v:09:y:2006:i:01n02:n:s0219525906000690
    DOI: 10.1142/S0219525906000690
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