非线性的带年龄结构的细胞增长模型全局解的存在唯一性

Global Existence and Uniqueness for a Nonlinear Cell Population Model with Age Structure

本文研究的是—个非线性的带年龄结构的包括生长和休眠两种阶段的细胞增长模型.此模型的重要特征就是细胞的出生率和两种阶段细胞之间的转化率不仅仅依赖于细胞的年龄还依赖于各阶段细胞的总数。本文将得出此细胞模型全局解的存在性和唯—性.

In this article,we consider the nonlinear cell division model with proliferating phase and quiescent phase.The trait of the model is that the cell division rate and cellstage transition rates are dependent of the age and the total cell population.By using the Banach fixed point theorem,we prove the existence and uniqueness of a global solution for this problem.