TY - JOUR A2 - Yang, Ming-shi AU - Ji, Yahui AU - Ma, Wanbiao AU - Song, Keying PY - 2018 DA - 2018/08/12 TI - Modeling Inhibitory Effect on the Growth of Uninfected T Cells Caused by Infected T Cells: Stability and Hopf Bifurcation SP - 3176893 VL - 2018 AB - We consider a class of viral infection dynamic models with inhibitory effect on the growth of uninfected T cells caused by infected T cells and logistic target cell growth. The basic reproduction number R0 is derived. It is shown that the uninfected equilibrium is globally asymptotically stable if R0<1. Sufficient conditions for the existence of Hopf bifurcation at the infected equilibrium are investigated by analyzing the distribution of eigenvalues. Furthermore, the properties of Hopf bifurcation are determined by the normal form theory and the center manifold. Numerical simulations are carried out to support the theoretical analysis. SN - 1748-670X UR - https://doi.org/10.1155/2018/3176893 DO - 10.1155/2018/3176893 JF - Computational and Mathematical Methods in Medicine PB - Hindawi KW - ER -