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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-3-1,
author = {Fei Long and Bingwen Liu},
title = {Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {217-228},
zbl = {1253.34074},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-3-1}
}
Fei Long; Bingwen Liu. Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models. Annales Polonici Mathematici, Tome 105 (2012) pp. 217-228. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap103-3-1/