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This study employs the Atangana-Baleanu fractional-order framework to construct an innovative mathematical model that examines the transmission behavior of the Seoul virus, particularly focusing on interactions between infected humans and rodents. In addition, the study explores effective strategies to control the spread of the virus while aiming to reduce the overall costs associated with treatment and prevention. By applying Pontryagin’s Maximum Principle, it determines the optimal conditions under which these control measures should be implemented. Simulations reveal that a combination of intervention measures is essential and highly effective in preventing widespread outbreaks of the Seoul virus.

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Mathematical Model for Seoul Virus Using Antangana-Baleanu Caputo Derivative with Optimal Control Analysis

  • 会议论文

  • 发表日期：

    2026年

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  • Rajendran Swetha,
  • Tharmalingam Gunasekar,
  • Shanmugam Manikandan,
  • Shyam Sundar Santra,
  • Prodipto Dhali,
  • Shubhankar Karmakar

摘要

This study employs the Atangana-Baleanu fractional-order framework to construct an innovative mathematical model that examines the transmission behavior of the Seoul virus, particularly focusing on interactions between infected humans and rodents. In addition, the study explores effective strategies to control the spread of the virus while aiming to reduce the overall costs associated with treatment and prevention. By applying Pontryagin’s Maximum Principle, it determines the optimal conditions under which these control measures should be implemented. Simulations reveal that a combination of intervention measures is essential and highly effective in preventing widespread outbreaks of the Seoul virus.