TY - JOUR AU - Enatsu, Yoichi AU - Wang, Jinliang AU - Kuniya, Toshikazu PY - 2017 TI - Impact of non-separable incidence rates on global dynamics of virus model with cell-mediated, humoral immune responses JO - Journal of Nonlinear Sciences and Applications SP - 5201--5218 VL - 10 IS - 10 AB - In this paper, we study the dynamical behavior of a virus model into which cell-mediated and humoral immune responses are incorporated. The global stability of an infection-free equilibrium and four infected equilibria is established via a Lyapunov functional approach. The present construction methods are applicable to a wide range of incidence rates that are monotone increasing with respect to concentration of uninfected cells and concave with respect to the concentration of free virus particles. 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