Bifurcation analysis of the HIV-1 within host model.

In this paper, a bifurcation solution's analysis is proposed for an HIV-1 within the host model around its chronic equilibrium point, this is carried out based on Lyapunov-Schmidt approach. It is shown that the coefficient b, which represents the healthy CD4⁺ T-cells growth rate, is a bifurcation parameter; this means that the rate of multiplication of healthy cells can have serious effects on the qualitative dynamical properties and structural stability of the infection evolution dynamics. Copyright © 2015 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]