Existence and uniqueness of positive periodic solutions of delayed Nicholson's blowflies models
Volume 103 / 2012
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.