HIV-infection modeling

In the paper a problem of stabilizing a HIV infection dynamics mathematical model is considered. The model is described by a system of functional differential equations. A stabilizing control is constructed basing on the method of explicit solutions of Generalized Riccati Equations of the theory of analytical constructing regulator for systems with delays. For construct a feedback control we use the first variant of explicit solutions of the generalized Riccati equations (the study of control stabilizing properties based on other variants discussed in other authors articles). Stabilizing control for the system of differential equations with delay supports HIV-infection model spread at a certain sufficiently small non-zero level. Results of the research can be applied to analysis of some aspects of HIV dynamics.