Abstract <p>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.</p>

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Mathematical Modeling and Optimal Control of Dengue Virus Infection Dynamics

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

摘要

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.