Global asymptotic stability of a nonlinear time-delayed system of T cells in the thymus

In this paper, the global asymptotic stability of the equilibrium of a nonlinear time-delayed system of T cells is studied, taking into account the differentiation and death of the T cells in the thymus. Based on quasi-steady-state approximation, local asymptotic stability of the equilibrium has been studied before. This paper gives a sufficient condition for the global asymptotic stability of the equilibrium of the model.