An improved model of t cell development in the thymus and its stability analysis

作者：Hongjing Shi, Wanbiao Ma · 发表于：Mathematical Biosciences & Engineering · 年份：2006 · DOI：10.3934/mbe.2006.3.237 · 被引用次数：4 · 研究领域：Mathematical Biology Tumor Growth

Based on some important experimental dates, in this paper we shall introduce time delays into Mehrs's non-linear differential system model which is used to describe proliferation, differentiation and death of T cells in the thymus (see, for example, [3], [6], [7] and [9]) and give a revised nonlinear differential system model with time delays. By using some classical analysis techniques of functional differential equations, we also consider local and global asymptotic stability of the equilibrium and the permanence of the model.