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.
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