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Periodic solutions for a discrete time predator-prey system with monotone functional responses
, Article Comptes Rendus Mathematique ; Volume 345, Issue 4 , 2007 , Pages 199-202 ; 1631073X (ISSN) ; Hesaaraki, M ; Sharif University of Technology
2007
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). © 2007 Académie des sciences