Stationary Analysis of a Disease Coinfection Model: Tuberculosis and HIV in Regions of Russia | Sciact - Система учета научной деятельности ИМ СО РАН

Stationary Analysis of a Disease Coinfection Model: Tuberculosis and HIV in Regions of Russia Научная публикация

Журнал

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662

Вых. Данные

Год: 2026, Том: 66, Номер: 2, Страницы: 363-381 Страниц : 10 DOI: 10.1134/s0965542525701866

Ключевые слова

mathematical modeling, SIR-model, epidemiology, stationary solutions, stability, inverse problem, tuberculosis, HIV, contagiousness

Авторы

Neverov A.V. ¹ , Krivorotko O.I. ¹ , Kaminskii G.D. ²

Организации

1	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
2	Tula Regional Clinical Center for the Prevention and Control of AIDS and Infectious Diseases, 300002, Tula, Russia

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

FWNF-2024-0002

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.

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

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.

Поступила в редакцию:	20 июл. 2025 г.
Принята к публикации:	10 нояб. 2025 г.
Опубликована в печати:	17 мар. 2026 г.
Опубликована online:	17 мар. 2026 г.

≡ РИНЦ:	89080414
≡ OpenAlex:	W7138402316