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 |
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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 | |
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 |
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Country/Territory | Russian Federation |
City | Novosibirsk |
Period | 18.09.2017 → 22.09.2017 |
Keywords
- HIV
- Identifiability
- Inverse problem
- Mathematical model
- Sensitivity analysis
- TB