Geodesic
Optimum control of process of application of antivirus preparations at HIV infection treatment
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 4, pp. 94-102

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The methodological problem of application of modern mathematical and information methods for management of restoration of immune system of the person for increase in duration of his/her life is considered. Developed and numerically solved the problem of optimum control by dynamics of HIV infection on the basis of application of the principle of a maximum of Pontryagin for nonlinear systems with continuous delay and rough right part. On the basis of program realization of numerical algorithm results of modeling of dynamics of immune system are given when using various strategy of application of medicines. By transformation of basic system of the differential equations, research of influence of secondary infectious diseases on dynamics of HIV infection is conducted.
Keywords: rough nonlinear dynamic systems with delay, optimum control, mathematical models of HIV infection. 
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     author = {I. P. Bolodurina and Yu. P. Ivanova},
     title = {Optimum control of process of application of antivirus preparations at {HIV} infection treatment},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a Vy\v{c}islitelʹna\^a matematika i informatika},
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     publisher = {mathdoc},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VYURV_2013_2_4_a6/}
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I. P. Bolodurina; Yu. P. Ivanova. Optimum control of process of application of antivirus preparations at HIV infection treatment. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ Vyčislitelʹnaâ matematika i informatika, Tome 2 (2013) no. 4, pp. 94-102. http://geodesic.mathdoc.fr/item/VYURV_2013_2_4_a6/