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Existence and global attractivity of periodic solution for a discrete prey-predator model with sex structure. (English) Zbl 1205.39004

This paper is concerned with the existence and the global attractivity of a positive periodic solution for a periodic discrete prey-predator model with sex structure. First, using Mawhin’s continuation theorem, a sufficient condition is obtained for the existence of a periodic positive solution. Then, under certain conditions, this solution is shown to be globally attractive. A discrete Lyapunov functional approach is used for the attractivity analysis. Finally, feasibility of the obtained conditions is illustrated by an example.

MSC:

39A12 Discrete version of topics in analysis
37N25 Dynamical systems in biology
92D25 Population dynamics (general)
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