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Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas. / Kabanikhin, Sergey; Krivorotko, Olga; Kashtanova, Victoriya et al.

Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 77-81 8109841.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Kabanikhin, S, Krivorotko, O, Kashtanova, V & Latyshenko, V 2017, Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas. in Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017., 8109841, Institute of Electrical and Electronics Engineers Inc., pp. 77-81, 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017, Novosibirsk, Russian Federation, 18.09.2017. https://doi.org/10.1109/SIBIRCON.2017.8109841

APA

Kabanikhin, S., Krivorotko, O., Kashtanova, V., & Latyshenko, V. (2017). Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas. In Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 (pp. 77-81). [8109841] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SIBIRCON.2017.8109841

Vancouver

Kabanikhin S, Krivorotko O, Kashtanova V, Latyshenko V. Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas. In Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc. 2017. p. 77-81. 8109841 doi: 10.1109/SIBIRCON.2017.8109841

Author

Kabanikhin, Sergey ; Krivorotko, Olga ; Kashtanova, Victoriya et al. / Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas. Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017. Institute of Electrical and Electronics Engineers Inc., 2017. pp. 77-81

BibTeX

@inproceedings{8d614a3abb854927a1b3a7adbb5ee1db,
title = "Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas",
abstract = "The mathematical model of the spread of TB and HIV co-infection is theoretically investigated. The sensitivity analysis is carried out based on eigenvalue method for the Hessian of sensitivity matrix. Numerical results are shown that six parameters (from 15 available) are identifiable uniquely by the given data only about numbers of infectious TB individuals with and without HIV and full-blown AIDS individuals during at least 3 years. The sensitivity analysis is closed to investigation of linearized inverse problem (parameter identification) for dynamic systems and very important before applying a numerical method for solving arising inverse problem.",
keywords = "HIV, Identifiability, Inverse problem, Mathematical model, Sensitivity analysis, TB",
author = "Sergey Kabanikhin and Olga Krivorotko and Victoriya Kashtanova and Varvara Latyshenko",
note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 ; Conference date: 18-09-2017 Through 22-09-2017",
year = "2017",
month = nov,
day = "14",
doi = "10.1109/SIBIRCON.2017.8109841",
language = "English",
pages = "77--81",
booktitle = "Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",

}

RIS

TY - GEN

T1 - Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas

AU - Kabanikhin, Sergey

AU - Krivorotko, Olga

AU - Kashtanova, Victoriya

AU - Latyshenko, Varvara

N1 - Publisher Copyright: © 2017 IEEE.

PY - 2017/11/14

Y1 - 2017/11/14

N2 - The mathematical model of the spread of TB and HIV co-infection is theoretically investigated. The sensitivity analysis is carried out based on eigenvalue method for the Hessian of sensitivity matrix. Numerical results are shown that six parameters (from 15 available) are identifiable uniquely by the given data only about numbers of infectious TB individuals with and without HIV and full-blown AIDS individuals during at least 3 years. The sensitivity analysis is closed to investigation of linearized inverse problem (parameter identification) for dynamic systems and very important before applying a numerical method for solving arising inverse problem.

AB - The mathematical model of the spread of TB and HIV co-infection is theoretically investigated. The sensitivity analysis is carried out based on eigenvalue method for the Hessian of sensitivity matrix. Numerical results are shown that six parameters (from 15 available) are identifiable uniquely by the given data only about numbers of infectious TB individuals with and without HIV and full-blown AIDS individuals during at least 3 years. The sensitivity analysis is closed to investigation of linearized inverse problem (parameter identification) for dynamic systems and very important before applying a numerical method for solving arising inverse problem.

KW - HIV

KW - Identifiability

KW - Inverse problem

KW - Mathematical model

KW - Sensitivity analysis

KW - TB

UR - http://www.scopus.com/inward/record.url?scp=85040528307&partnerID=8YFLogxK

U2 - 10.1109/SIBIRCON.2017.8109841

DO - 10.1109/SIBIRCON.2017.8109841

M3 - Conference contribution

AN - SCOPUS:85040528307

SP - 77

EP - 81

BT - Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017

Y2 - 18 September 2017 through 22 September 2017

ER -

ID: 9133539