Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses

Changjin Xu and Maoxin Liao

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-18

Abstract:

A discrete predator-prey model with Holling II and Beddington-DeAngelis functional responses is investigated. With the aid of differential equations with piecewise constant arguments, a discrete version of continuous nonautonomous delayed predator-prey model with Beddington-DeAngelis functional responses is proposed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive solutions of the model are established.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:970763

DOI: 10.1155/2011/970763

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