ASYMPTOTIC BEHAVIOUR FOR A MATHEMATICAL CELLULAR MODEL WITH INFINITE CELL CYCLE LENGTH

被引：0
|
作者：
Boulanouar, M. [1 ]
机构：
[1] LMCM, Poitiers, France
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2009年 / 3卷 / 01期
关键词：
cell population dynamics; general boundary condition; semigroups; compactness; positivity; irreducibility; asymptotic behaviour;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the cellular profile of a mathematical model of an age structured cell population endowed with general biological reproduction laws. Each cell is distinguished by its age and its cell cycle length which can be infinite. We study the positivity and irreducibility of the generated semigroup and we calculate its essential type. The cellular profile is obtained by the asymptotic behaviour in the uniform topology.
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页码：77 / 101
页数：25
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