A+ CATEGORY SCIENTIFIC UNIT

Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models

Volume 103 / 2012

Fei Long, Bingwen Liu Annales Polonici Mathematici 103 (2012), 217-228 MSC: 34C25, 34K13. DOI: 10.4064/ap103-3-1

Abstract

This paper is concerned with a class of Nicholson's blowflies models with multiple time-varying delays. By applying the coincidence degree, some criteria are established for the existence and uniqueness of positive periodic solutions of the model. Moreover, a totally new approach to proving the uniqueness of positive periodic solutions is proposed. In particular, an example is employed to illustrate the main results.

Authors

  • Fei LongDepartment of Mathematics
    and Computer Science
    Hunan City University
    Yiyang, Hunan 413000, P.R. China
    e-mail
  • Bingwen LiuCollege of Mathematics,
    Physics and Information Engineering
    Jiaxing University
    Jiaxing, Zhejiang 314001, P.R. China
    e-mail

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