Almost Periodic Solution of a Modified Leslie‐Gower Predator‐Prey Model with Beddington‐DeAngelis Functional Response and Feedback Controls

Kerong Zhang, Jianli Li and Aiwen Yu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We consider a modified Leslie‐Gower predator‐prey model with the Beddington‐DeAngelis functional response and feedback controls as follows: x˙t=xta1t-btxt-ctyt/αt+βtxt+γtyt-e1tut, u˙t=-d1tut+p1txt-τ, y˙t=yta2t-rtyt/xt+kt-e2tνt, and ν˙(t)=-d2(t)ν(t)+p2(t)y(t-τ). Sufficient conditions which guarantee the permanence and existence of a unique globally attractive positive almost periodic solution of the system are obtained.

Date: 2014
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https://doi.org/10.1155/2014/252579

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:252579

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