The numerical solutions to the model of primary infection by HIV

The local stability and the behaviors of the solution to the standard models of virus dynamics of primary HIV infection (Phillips, 1996) and the extended target-cell limited model which include infected cell depletion by immune effector cells (Stafford et al., 2000) are studied. If the basic reproduction number is smaller than 1, the virus is cleared and the disease dies out; if it is greater than 1, then the virus persists in the host, solutions approaches a chronic disease steady state. The results are supported by some experimental data which are given in Burg, D., et al., (2009).