Аграрный вестник Урала № 05 (172) 2018
Биология и биотехнологииУДК:001.891.573
STABILIZATION OF THE HIV MODEL WITH DELAY BASED ON FOURTH VARIANT OF EXPLICIT SOLUTIONS OF GENERALIZED RICCATI EQUATIONS
The problem of constructing feedbackcontrol, stabilizing of the HIV model based on the theory of analytical designof regulators for systems with delay is considered in this article. The modelis described by a system of functional differential equations. A stabilizingcontrol is constructed basing on the method of explicit solutions ofGeneralized Riccati Equations of the theory of analytical constructingregulator for systems with delays. Currently, six variants of explicitsolutions to Generalized Equations of Riccati used for stabilization of systemswith aftereffect are identified. However, in the scientific literature,numerical modelling and stabilization of HIV models is discussed only by thefirst three methods. Numerical modelling of the stabilizing effect based on thefourth option explicit solutions to Generalized Equations of Riccati isconsidered in this article. A computer program for performing the necessarycalculations was developed
Keywords:
HIV-model, computational immunology, stabilization, differential equations with delay.
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