Chinese Quarterly Journal of Mathematics ›› 2015, Vol. 30 ›› Issue (1): 153-158.doi: 10.13371/j.cnki.chin.q.j.m.2015.01.016

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

  

  1. Department of Computer Engineering, Fuzhou University Zhicheng College
  • Received:2014-09-28 Online:2015-03-30 Published:2020-11-24
  • About author: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.
  • Supported by:
    Supported by the Foundation of Fujian Education Bureau(JA13361); Supported by the National Natural Science Foundation of Fujian Province(2013J01010);

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

CLC Number: