Stationary Analysis of a Disease Coinfection Model: Tuberculosis and HIV in Regions of Russia Full article
| Journal |
Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662 |
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| Output data | Year: 2026, Volume: 66, Number: 2, Pages: 363-381 Pages count : 10 DOI: 10.1134/s0965542525701866 | ||||
| Tags | mathematical modeling, SIR-model, epidemiology, stationary solutions, stability, inverse problem, tuberculosis, HIV, contagiousness | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2024-0002 |
Abstract:
Steady-state (stationary) solutions to a system of four nonlinear ordinary differential equations are found, analyzed, and used in mathematical epidemiology to describe long-term infections. Stability conditions for stationary solutions are obtained in a model of coinfection of two diseases one of which is treatable. It is proved that a stationary endemic state (sluggish epidemic) of two simultaneous infections is stable within its permissible range. Heterogeneity in the stability (instability) of a nontrivial stationary state across regions of Russia is established using the example of tuberculosis and HIV coinfection. It is also shown that in regions where the nontrivial stationary state is unstable (regions on the way to tuberculosis elimination), the time until elimination ranges from 13.6 to 25.5 years.
Cite:
Neverov A.V.
, Krivorotko O.I.
, Kaminskii G.D.
Stationary Analysis of a Disease Coinfection Model: Tuberculosis and HIV in Regions of Russia
Computational Mathematics and Mathematical Physics. 2026. V.66. N2. P.363-381. DOI: 10.1134/s0965542525701866 РИНЦ OpenAlex
Stationary Analysis of a Disease Coinfection Model: Tuberculosis and HIV in Regions of Russia
Computational Mathematics and Mathematical Physics. 2026. V.66. N2. P.363-381. DOI: 10.1134/s0965542525701866 РИНЦ OpenAlex
Original:
Неверов А.В.
, Криворотько О.И.
, Каминский Г.Д.
Стационарный анализ модели ко-инфекции туберкулеза и ВИЧ в регионах РФ
Журнал вычислительной математики и математической физики. 2026.
Стационарный анализ модели ко-инфекции туберкулеза и ВИЧ в регионах РФ
Журнал вычислительной математики и математической физики. 2026.
Dates:
| Submitted: | Jul 20, 2025 |
| Accepted: | Nov 10, 2025 |
| Published print: | Mar 17, 2026 |
| Published online: | Mar 17, 2026 |
Identifiers:
| ≡ Elibrary: | 89080414 |
| ≡ OpenAlex: | W7138402316 |