On the stability of a nonlinear maturity structured model of cellular proliferation

被引：0
|
作者：
Adimy, M
Crauste, F
Pujo-Menjouet, L
机构：
[1] Univ Pau & Pays Adour, Lab Math Appl, F-64000 Pau, France
[2] McGill Univ, Dept Physiol, Montreal, PQ H3G 1Y6, Canada
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2005年 / 12卷 / 03期
关键词：
nonlinear partial differential equation; maturity structured model; blood production system; delay depending on the maturity; global stability; instability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We analyze the asymptotic behavior of a nonlinear mathematical model of cellular proliferation which describes the production of blood cells in the bone marrow. This model takes the form of a system of two maturity Structured partial differential equations, with a retardation of the maturation variable and a time delay depending on this maturity. We show that the stability of this system depends strongly on the behavior of the immature cell population. We obtain conditions for the global stability and the instability of the trivial solution.
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页码：501 / 522
页数：22
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