Permanence of a Nicholson's Blowflies Model with Feedback Control and Multiple Time-varying Delays

CHEN Xiao-ying, SHI Chun-ling

doi:10.13371/j.cnki.chin.q.j.m.2015.01.016

Chinese Quarterly Journal of Mathematics >

2015 , Vol. 30 >Issue 1: 153 - 158

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.01.016

Permanence of a Nicholson's Blowflies Model with Feedback Control and Multiple Time-varying Delays

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Department of Computer Engineering, Fuzhou University Zhicheng College

CHEN Xiao-ying(1983-),female, native of Zhaoan, Fujian, a lecturer of Fuzhon University Zhicheng College, M.S.D., engages in biomathematics; SHI Chun-ling(1979-), female, native of Pingtan, Fujian, a lecturer of Fuzhou University Zhicheng College M.S.D., engages in biomathematics.

Received date: 2014-09-28

Online published: 2020-11-24

Supported by

Supported by the Foundation of Fujian Education Bureau(JA13361)； Supported by the National Natural Science Foundation of Fujian Province(2013J01010)；

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Abstract

This paper covers the dynamic behaviors for a class of Nicholson’s blowflies model with multiple time-varying delay and feedback control. By using the differential inequality theory, a set of sufficient conditions are obtained to ensure the permanence of the system.Our result shows that feedback control variables have no influence on the permanence of the system.

Key words： permanence; Nicholson’s blowflies model; delay; feedback control

Cite this article

CHEN Xiao-ying, SHI Chun-ling . Permanence of a Nicholson's Blowflies Model with Feedback Control and Multiple Time-varying Delays[J]. Chinese Quarterly Journal of Mathematics, 2015 , 30(1) : 153 -158 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.01.016

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