Inverse problems of immunology and epidemiology

S. I. Kabanikhin; O. I. Krivorotko; D. V. Ermolenko; V. N. Kashtanova; V. A. Latyshenko

doi:10.32523/2306-3172-2017-5-2-14-35

Inverse problems of immunology and epidemiology

S. I. Kabanikhin, O. I. Krivorotko, D. V. Ermolenko, V. N. Kashtanova, V. A. Latyshenko

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

8 Цитирования (Scopus)

Аннотация

A parameter identification problem (inverse problem) for some mathematical models of HIV dynamics and tuberculosis epidemics with experimental observations is investigated. The inverse problems are reduced to a minimization problem. The optimization problem is solved with the help of stochastic methods: a genetic algorithm and fast simulated annealing. The results of numerical calculations are presented.

Язык оригинала	английский
Страницы (с-по)	14-35
Число страниц	22
Журнал	Eurasian Journal of Mathematical and Computer Applications
Том	5
Номер выпуска	2
DOI	https://doi.org/10.32523/2306-3172-2017-5-2-14-35
Состояние	Опубликовано - 2017

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10.32523/2306-3172-2017-5-2-14-35

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title = "Inverse problems of immunology and epidemiology",

abstract = "A parameter identification problem (inverse problem) for some mathematical models of HIV dynamics and tuberculosis epidemics with experimental observations is investigated. The inverse problems are reduced to a minimization problem. The optimization problem is solved with the help of stochastic methods: a genetic algorithm and fast simulated annealing. The results of numerical calculations are presented.",

keywords = "genetic algorithm, Inverse problem, optimization problem, ordinary differential equations, parameter identification, simulated annealing",

author = "Kabanikhin, {S. I.} and Krivorotko, {O. I.} and Ermolenko, {D. V.} and Kashtanova, {V. N.} and Latyshenko, {V. A.}",

year = "2017",

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Inverse problems of immunology and epidemiology. / Kabanikhin, S. I.; Krivorotko, O. I.; Ermolenko, D. V.; Kashtanova, V. N.; Latyshenko, V. A.

В: Eurasian Journal of Mathematical and Computer Applications, Том 5, № 2, 2017, стр. 14-35.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - Inverse problems of immunology and epidemiology

AU - Kabanikhin, S. I.

AU - Krivorotko, O. I.

AU - Ermolenko, D. V.

AU - Kashtanova, V. N.

AU - Latyshenko, V. A.

PY - 2017

Y1 - 2017

N2 - A parameter identification problem (inverse problem) for some mathematical models of HIV dynamics and tuberculosis epidemics with experimental observations is investigated. The inverse problems are reduced to a minimization problem. The optimization problem is solved with the help of stochastic methods: a genetic algorithm and fast simulated annealing. The results of numerical calculations are presented.

AB - A parameter identification problem (inverse problem) for some mathematical models of HIV dynamics and tuberculosis epidemics with experimental observations is investigated. The inverse problems are reduced to a minimization problem. The optimization problem is solved with the help of stochastic methods: a genetic algorithm and fast simulated annealing. The results of numerical calculations are presented.

KW - genetic algorithm

KW - Inverse problem

KW - optimization problem

KW - ordinary differential equations

KW - parameter identification

KW - simulated annealing

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U2 - 10.32523/2306-3172-2017-5-2-14-35

DO - 10.32523/2306-3172-2017-5-2-14-35

M3 - Article

AN - SCOPUS:85021372122

VL - 5

SP - 14

EP - 35

JO - Eurasian Journal of Mathematical and Computer Applications

JF - Eurasian Journal of Mathematical and Computer Applications

SN - 2306-6172

IS - 2

ER -

Inverse problems of immunology and epidemiology

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