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Periodic solutions of a discrete time nonautonomous two-species mutualistic system with delays. (English) Zbl 1107.92053

Summary: We establish a discrete time non-autonomous two-species mutualistic system with delays by considering the influence of many generations on the density of the 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.

MSC:

92D40 Ecology
39A11 Stability of difference equations (MSC2000)
34K13 Periodic solutions to functional-differential equations
92D25 Population dynamics (general)
39A12 Discrete version of topics in analysis
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