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

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摘要

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.

论文关键词:Discrete predator-prey system,Hassell–Varley,Permanence,Almost periodic solution,Feedback control

论文评审过程:Received 25 November 2013, Revised 23 April 2015, Accepted 9 June 2015, Available online 5 July 2015, Version of Record 5 July 2015.

论文官网地址:https://doi.org/10.1016/j.amc.2015.06.034