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.
Citation: Hongjing Shi, Wanbiao Ma. An improved model of t cell development in the thymus and its stability analysis[J]. Mathematical Biosciences and Engineering, 2006, 3(1): 237-248. doi: 10.3934/mbe.2006.3.237
Abstract
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.