Abstract
In this Note, sharp sufficient conditions for the existence of periodic solutions of a nonautonomous discrete time semi-ratio-dependent predator–prey system with functional responses are derived. In our results this system with any monotone functional response bounded by polynomials in R + , always has at least one ω-periodic solution. In particular, this system with the most popular functional responses Michaelis–Menten, Holling type-II and III, sigmoidal, Ivlev and some other monotone response functions, always has at least one ω-periodic solution. To cite this article: M. Fazly, M. Hesaaraki, C. R. Acad. Sci. Paris, Ser. I 345 (2007).
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