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Zbl 1081.92043
Xu, Rui; Chen, Lansun; Hao, Feilong
Periodic solutions of a discrete time Lotka--Volterra type food-chain model with delays. (English)
[J] Appl. Math. Comput. 171, No. 1, 91-103 (2005). ISSN 0096-3003

Summary: A periodic discrete time three trophic level Lotka-Volterra type food-chain model is investigated. By using {\it R. E. Gaines} and {\it J. L. Mawhin}'s continuation theorem of coincidence degree theory [Coincidence degree, and nonlinear differential equations. (1977; Zbl 0339.47031)], sufficient conditions are derived for the existence of positive periodic solutions of the model.

MSC 2000:: *92D40 Ecology
39A10 Difference equations
39A11 Stability of difference equations
39A12 Discrete version of topics in analysis

Citations: Zbl 0339.47031

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