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ЖУРНАЛЫ // Журнал вычислительной математики и математической физики // Архив

Ж. вычисл. матем. и матем. физ., 2025, том 65, номер 9, страницы 2111–2126 (Mi zvmmf12072)

Статьи, опубликованные в английской версии журнала

Mathematical modeling and optimal control of Dengue virus infection dynamics

M. Prakash Raj, A. Venkatesh, K. Arun Kumar, M. Manivel

Department of Mathematics, A.V.V.M. Sri Pushpam College (Affilated to Bharathidasan University, Tiruchirappalli), Poondi, 613503, Thanjavur, Tamilnadu, India

Аннотация: In this study, the dengue virus transmission is particularly discussed together with quantitative modeling and examination of illness dynamics. Topics including numerical simulations, optimum control techniques, sensitivity analysis, and global stability analysis of equilibrium points are covered. Further investigation into the effects of artificially eliminating susceptible vector characteristics and time delays on disease dynamics is conducted. It also looks for evidence that there are any ideal control pairs for the system and how to describe them. The results provide valuable perspectives on how well control strategies work to slow the disease’s progression and effects.

Ключевые слова: global stability, dengue virus, sensitivity, time delay, optimal control.

Поступила в редакцию: 22.10.2024
Исправленный вариант: 10.06.2025
Принята в печать: 17.11.2025

Язык публикации: английский


 Англоязычная версия: Computational Mathematics and Mathematical Physics, 2025, 65:9, 2111–2126


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