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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2025 Volume 65, Number 9, Pages 2111–2126 (Mi zvmmf12072)

Papers published in the English version of the journal

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

Abstract: 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.

Key words: global stability, dengue virus, sensitivity, time delay, optimal control.

Received: 22.10.2024
Revised: 10.06.2025
Accepted: 17.11.2025

Language: English


 English version:
Computational Mathematics and Mathematical Physics, 2025, 65:9, 2111–2126


© Steklov Math. Inst. of RAS, 2025