This paper presents optimal control of zika virus disease when wolbachiainfected Aedes aegypti mosquito is used as bio-control. With use of wolbachia-infected mosquitoes to combat zika virus disease infection, the naturally occurring mosquitoes are infected with wolbachia inside the laboratory. The infected natural mosquitoes are taken out into the wild at other times to copulate with other non-infected ones. Within this paper thus, Antangana-Baleanu fractional order approach intends to come up with a novel Zika Virus transmission model that depicts how the infected human populations interact. An iterative method along with the fixed-point theorem are used to prove the existence of the model’s system of solutions. For this, the existence of optimal control is first ensured. The goal of the optimal control problem under proposal is to minimize both the costs of treatment and prevention and also the number of infected individuals. Optimality conditions are acquired through Pontryagin’s Maximum Principle. Clearly, numerical simulations demonstrate how strongly the proposed combined control strategy is necessary and successful in preventing the disease from becoming epidemic.

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Advancing Zika Virus Control with Fractional Order Optimal Control with Wolbachia-Infected Aedes Aegypti Mosquitoes

  • Murugan Suba,
  • Arikrishnan Venkatesan,
  • Tharmalingam Gunasekar,
  • Shanmugam Manikandan,
  • Prabakaran Raghavendran,
  • Shyam Sundar Santra,
  • Shubhankar Karmakar

摘要

This paper presents optimal control of zika virus disease when wolbachiainfected Aedes aegypti mosquito is used as bio-control. With use of wolbachia-infected mosquitoes to combat zika virus disease infection, the naturally occurring mosquitoes are infected with wolbachia inside the laboratory. The infected natural mosquitoes are taken out into the wild at other times to copulate with other non-infected ones. Within this paper thus, Antangana-Baleanu fractional order approach intends to come up with a novel Zika Virus transmission model that depicts how the infected human populations interact. An iterative method along with the fixed-point theorem are used to prove the existence of the model’s system of solutions. For this, the existence of optimal control is first ensured. The goal of the optimal control problem under proposal is to minimize both the costs of treatment and prevention and also the number of infected individuals. Optimality conditions are acquired through Pontryagin’s Maximum Principle. Clearly, numerical simulations demonstrate how strongly the proposed combined control strategy is necessary and successful in preventing the disease from becoming epidemic.