PERIODIC SOLUTIONS OF A DISCRETE TIME NONAUTONOMOUS TWO-SPECIES MUTUALISTIC SYSTEM WITH DELAYS

Zhijun Liu () and Lansun Chen ()
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Zhijun Liu: Department of Applied Mathematics, Dalian University of Technology, 116024 Dalian Liaoning, China;
Lansun Chen: Department of Applied Mathematics, Dalian University of Technology, 116024 Dalian Liaoning, China

Advances in Complex Systems (ACS), 2006, vol. 09, issue 01n02, 87-98

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.

Keywords: Positive periodic solution; discrete mutualisitic system; coincidence degree (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0219525906000690

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