摘要
This paper is devoted to the study of the stability of a CD4^＋ T cell viral infection model with diffusion. First, we discuss the well-posedness of the model and the existence of endemic equilibrium. Second, by analyzing the roots of the characteristic equation, we establish the local stability of the virus-free equilibrium. Furthermore, by constructing suitable Lyapunov functions, we show that the virus-free equilibrium is globally asymptotically stable if the threshold value R0 ≤1; the endemic equilibrium is globally asymptotically stable if R0 〉 1 and du^＊ - δw^＊ ≥0. Finally, we give an application and numerical simulations to illustrate the main results.
