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 -