In the paper considers a problem of stabilizing a mathematical model of HIV dynamics 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. To construct a feedback control we use the variant of explicit solutions of the generalized Riccati equations. This variant requires finding a solution of a specific exponential matrix equation, The solution can be calculated by steady solutions method using a routine developed by the authors in Matlab system. 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.
|Переведенное название||HIV-INFECTION MODEL STABILIZATION|
|Журнал||В мире научных открытий|
|Номер выпуска||10 (46)|
|Состояние||Опубликовано - 2013|
- 12.51.00 Методика и техника исследовательской работы
- Перечень ВАК