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	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

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Identification the mathematical model of the transmission TB/HIV co-infection in endemic areas'. Together they form a unique fingerprint.

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

Kabanikhin, Sergey ; Krivorotko, Olga ; Kashtanova, Victoriya ; Latyshenko, Varvara. / 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

@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",

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",

note = "2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 ; Conference date: 18-09-2017 Through 22-09-2017",

}

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; Latyshenko, Varvara.

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

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

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 -

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