Existence of Periodic Solutions in a Discrete Predator-Prey System with Beddington-DeAngelis Functional Responses
2011 ◽
Vol 2011
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pp. 1-18
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Keyword(s):
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.
2013 ◽
Vol 24
(10)
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pp. 1350086
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2015 ◽
Vol 2015
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pp. 1-8
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2021 ◽
Vol 10
(5)
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pp. 2641-2652
2004 ◽
Vol 2004
(2)
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pp. 325-343
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2008 ◽
Vol 11
(01)
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pp. 77-97
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2013 ◽
Vol 765-767
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pp. 327-330