This paper is concerned with a delayed single population model with hereditary effect. Under appropriate conditions, we employ a novel argument to establish a criterion of the global exponential stability of positive almost periodic solutions of the model. Moreover, an example and its numerical simulation are given to illustrate the main result.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap113-2-5,
author = {Qiyuan Zhou and Jianying Shao},
title = {Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect},
journal = {Annales Polonici Mathematici},
volume = {113},
year = {2015},
pages = {175-189},
zbl = {06401019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap113-2-5}
}
Qiyuan Zhou; Jianying Shao. Global exponential stability of almost periodic solutions for a delayed single population model with hereditary effect. Annales Polonici Mathematici, Tome 113 (2015) pp. 175-189. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap113-2-5/