We consider the discrete survival red blood cells model (*) , where δₙ and Pₙ are positive sequences. In the autonomous case we show that (*) has a unique positive steady state N*, we establish some sufficient conditions for oscillation of all positive solutions about N*, and when k = 1 we give a sufficient condition for N* to be globally asymptotically stable. In the nonatonomous case, assuming that there exists a positive solution Nₙ*, we present necessary and sufficient conditions for oscillation of all positive solutions of (*) about Nₙ*. Our results can be considered as discrete analogues of the recent results by Saker and Agarwal [12] and solve an open problem posed by Kocic and Ladas [8].
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am30-4-6,
author = {I. Kubiaczyk and S. H. Saker},
title = {Oscillation and global attractivity in a discrete survival red blood cells model},
journal = {Applicationes Mathematicae},
volume = {30},
year = {2003},
pages = {441-449},
zbl = {1057.39002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-4-6}
}
I. Kubiaczyk; S. H. Saker. Oscillation and global attractivity in a discrete survival red blood cells model. Applicationes Mathematicae, Tome 30 (2003) pp. 441-449. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am30-4-6/