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

Sergey Kabanikhin; Olga Krivorotko; Victoriya Kashtanova; Varvara Latyshenko

doi:10.1109/SIBIRCON.2017.8109841

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

Sergey Kabanikhin, Olga Krivorotko, Victoriya Kashtanova, Varvara Latyshenko

Department of Mechanics and Mathematics

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

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.

Original language	English
Title of host publication	Proceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	77-81
Number of pages	5
ISBN (Electronic)	9781538615966
DOIs	https://doi.org/10.1109/SIBIRCON.2017.8109841
Publication status	Published - 14 Nov 2017
Event	2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 - Novosibirsk, Russian Federation Duration: 18 Sep 2017 → 22 Sep 2017

Conference

Conference	2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
Country/Territory	Russian Federation
City	Novosibirsk
Period	18.09.2017 → 22.09.2017

Keywords

HIV
Identifiability
Inverse problem
Mathematical model
Sensitivity analysis
TB

Access to Document

10.1109/SIBIRCON.2017.8109841

Cite this

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

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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.",

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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

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

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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 https://doi.org/10.1109/SIBIRCON.2017.8109841

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

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