Markov semigroups and stability of the cell maturity distribution

被引:18
作者
Rudnicki, R
Pichór, K
机构
[1] Polish Acad Sci, Inst Math, PL-40013 Katowice, Poland
[2] Silesian Univ, Inst Math, PL-40007 Katowice, Poland
关键词
structured population; first order partial differential equation; asymptotic stability; Markov semigroup;
D O I
10.1142/S0218339000000067
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A model of the maturity-structured cell population is considered. This model is described by a partial differential equation with a transformed argument. Using the theory of Markov semigroups we establish a new criterion for asymptotic stability of such equations.
引用
收藏
页码:69 / 94
页数:26
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