Author/Authors :
Ji, Yahui Department of Applied Mathematics - School of Mathematics and Physics - University of Science and Technology Beijing - Beijing, China , Ma, Wanbiao Department of Applied Mathematics - School of Mathematics and Physics - University of Science and Technology Beijing - Beijing, China , Song, Keying Department of Applied Mathematics - School of Mathematics and Physics - University of Science and Technology Beijing - Beijing, China
Abstract :
We consider a class of viral infection dynamic models with inhibitory efect on the growth of uninfected T cells caused by infected
T cells and logistic target cell growth. Te basic reproduction number R0 is derived. It is shown that the uninfected equilibrium is
globally asymptotically stable if R0 < 1. Sufcient 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.
