Standard

Inverse problems of immunology and epidemiology. / Kabanikhin, S. I.; Krivorotko, O. I.; Ermolenko, D. V. et al.

In: Eurasian Journal of Mathematical and Computer Applications, Vol. 5, No. 2, 2017, p. 14-35.

Research output: Contribution to journal › Article › peer-review

Harvard

Kabanikhin, SI, Krivorotko, OI, Ermolenko, DV, Kashtanova, VN & Latyshenko, VA 2017, 'Inverse problems of immunology and epidemiology', Eurasian Journal of Mathematical and Computer Applications, vol. 5, no. 2, pp. 14-35. https://doi.org/10.32523/2306-3172-2017-5-2-14-35

APA

Kabanikhin, S. I., Krivorotko, O. I., Ermolenko, D. V., Kashtanova, V. N., & Latyshenko, V. A. (2017). Inverse problems of immunology and epidemiology. Eurasian Journal of Mathematical and Computer Applications, 5(2), 14-35. https://doi.org/10.32523/2306-3172-2017-5-2-14-35

Vancouver

Kabanikhin SI, Krivorotko OI, Ermolenko DV, Kashtanova VN, Latyshenko VA. Inverse problems of immunology and epidemiology. Eurasian Journal of Mathematical and Computer Applications. 2017;5(2):14-35. doi: 10.32523/2306-3172-2017-5-2-14-35

Author

Kabanikhin, S. I. ; Krivorotko, O. I. ; Ermolenko, D. V. et al. / Inverse problems of immunology and epidemiology. In: Eurasian Journal of Mathematical and Computer Applications. 2017 ; Vol. 5, No. 2. pp. 14-35.

BibTeX

@article{1afbfcd13c864d3d9286e16f502fcd23,
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",
doi = "10.32523/2306-3172-2017-5-2-14-35",
language = "English",
volume = "5",
pages = "14--35",
journal = "Eurasian Journal of Mathematical and Computer Applications",
issn = "2306-6172",
publisher = "L. N. Gumilyov Eurasian National University",
number = "2",

}

RIS

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

UR - http://www.scopus.com/inward/record.url?scp=85021372122&partnerID=8YFLogxK

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 -

ID: 9133750