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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.
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Fazly et al. (2007) studied this question.
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