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

Sergey Kabanikhin, Olga Krivorotko, Victoriya Kashtanova, Varvara Latyshenko

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-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 languageEnglish
Title of host publicationProceedings - 2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages77-81
Number of pages5
ISBN (Electronic)9781538615966
DOIs
Publication statusPublished - 14 Nov 2017
Event2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017 - Novosibirsk, Russian Federation
Duration: 18 Sep 201722 Sep 2017

Conference

Conference2017 International Multi-Conference on Engineering, Computer and Information Sciences, SIBIRCON 2017
CountryRussian Federation
CityNovosibirsk
Period18.09.201722.09.2017

Keywords

  • HIV
  • Identifiability
  • Inverse problem
  • Mathematical model
  • Sensitivity analysis
  • TB

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  • 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