Almost periodic sequence solution of a discrete Hassell–Varley predator-prey system with feedback control

Xiaoli Xie, Chunhua Zhang, Xiaoxing Chen and Jiangyong Chen

Applied Mathematics and Computation, 2015, vol. 268, issue C, 35-51

Abstract: In this paper, we investigate a discrete Hassell–Varley response function predator-prey system with feedback control. First, sufficient conditions are established for the permanence of the system. Then, assuming that the coefficients of the system is almost periodic sequences, we obtain conditions for the existence and unique of the almost periodic solution. Moreover, the almost periodic solution we obtained is uniformly asymptotically stable.

Keywords: Discrete predator-prey system; Hassell–Varley; Permanence; Almost periodic solution; Feedback control (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:35-51

DOI: 10.1016/j.amc.2015.06.034

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