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Russian Journal of Agricultural Research

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Journal is included in the list of VAK (from 25.09.2017), No. 291

ISSN 2307-0005 (Online)
Key title: Agrarnyj vestnik Urala (Online)
Abbreviated key title: Agrar. vestn. Urala (Online)

Аграрный вестник Урала № 01 (131) 2015

Биология и биотехнологии

Красовский А. Н. доктор физико-математических наук, заведующий кафедрой Уральский государственный аграрный университет

Ким А. В. доктор физико-математических наук, руководитель группы функционально-дифференциальных уравнений Институт математики и механики Уральского отделения Российской академии наук

Глушенкова В. В. программист Институт математики и механики имени Н. Н. Красовского, Уральское отделение Российской академии наук



Renewed the mathematical model of HIV-process proposed in the research. There is solving the problem of control, the feedback of the model of HIV-processes. The role of the control actions in this model plays the effectiveness of two drugs. The problem of non-linear translation of a managed object from is given initial to a given final state, which is determined by the initial and final values of the image information. As information selects the phase coordinates of the controlled object, depends on the number of healthy and infected cells, virus particles and immune effectors. In view of the nonlinear differential equations describing the process of HIV, the problem is solved in the class of mixed management strategies using the method of extremely shift from scientific works. With this as a guide (model-leader) used graphs of system parameters over time from the research. For steady motion tracking real dynamic object model and a guide-used probabilistic control scheme of the research. Theoretical results are illustrated by computer simulation of the process with the parameters of the system and the data close to real. These results continue the study of the previous science works.


HIV-process, a mathematical model, extreme shift, mixed strategy, model-seeing eye


1. Kim A. V., Krasovskii A. N., Glushenkova V. V. Modeling the dynamics of HIV // Actual problems of development

of biotechnology : proceedings of the International conference. Ekaterinburg : Ural, 2013. P. 105–108.

2. Jang T.-S., Kwon H.-D., Lee-J. Free Terminal Time Optimal Control Problem. US, 2011. P. 2408–2429.

3. Krasovskii A. N., Choi-Y. S. Stochastic Control with the Leaders-Stabilizers. Ekaterinburg : IMM Ural Branch

of RAS, 2001. 48 p.

4. Krasovskii A. N., Krasovskii N. N. Control under Lack of information. Boston : Birkhauser, 1994. 319 p.

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