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Oscillation in a discrete partial delay survival red blood cells model

✍ Scribed by B.G Zhang; S.H Saker

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 460 KB
Volume: 37
Category: Article
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(03)00077-3

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✦ Synopsis

In this paper, we shall consider the discrete partial delay survival red blood cells model P,+I,~ + Pn,n+l -P,,, = -bP,,, + pe--aP~L-~~n-~, (*) where P,,, represents the number of the red blood cells at time m and site n, 6, a, and p are positive constants and cr and r are nonnegative integers. We shall show that (*) has a unique positive steady state P*, prove that every positive solution of (*) which does not oscillate about P' converges to P' as m, n -+ co, and present necessary and sufficient conditions for oscillation of all positive solutions of (*) about P*.

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