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

Fei Long; Bingwen Liu

Annales Polonici Mathematici (2012)

  • Volume: 103, Issue: 3, page 217-228
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Fei Long, and Bingwen Liu. "Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models." Annales Polonici Mathematici 103.3 (2012): 217-228. <http://eudml.org/doc/280600>.

@article{FeiLong2012,
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.},
author = {Fei Long, Bingwen Liu},
journal = {Annales Polonici Mathematici},
keywords = {Nicholson's blowfliers model; positive periodic soluton; coincidence degree theory},
language = {eng},
number = {3},
pages = {217-228},
title = {Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models},
url = {http://eudml.org/doc/280600},
volume = {103},
year = {2012},
}

TY - JOUR
AU - Fei Long
AU - Bingwen Liu
TI - Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models
JO - Annales Polonici Mathematici
PY - 2012
VL - 103
IS - 3
SP - 217
EP - 228
AB - 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.
LA - eng
KW - Nicholson's blowfliers model; positive periodic soluton; coincidence degree theory
UR - http://eudml.org/doc/280600
ER -

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