Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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ON THE PERMANENCE OF PREDATOR-PREY MODEL WITH THE BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE IN PERIODIC ENVIRONMENT

TRINH TUAN ANH, NGUYEN HUU DU, TONG THANH TRUNG

pp. 267-280

Abstract

This paper studies a predator-prey population system described by a differential equation with the Beddington-DeAngelis functional response in the periodic case. We establish a sufficient criterion for the permanence of the system and for the existence of a positive periodic solution.