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An Optimal Vaccination Scenario for COVID-19 Transmission Between Children and Adults

In: Mathematical Modeling and Intelligent Control for Combating Pandemics

Author

Listed:
  • Derya Avcı

    (Balıkesir University)

  • Mine Yurtoğlu

    (Balıkesir University)

Abstract

This chapter presents the impact of adult vaccination as a control strategy on a model describing the spreading of COVID-19 between the kids and adults. The main goal is reducing the infected people with minimal vaccination costs. To succeed in this purpose, an optimal control problem is constructed. The Hamiltonian formalism is considered to get the optimality conditions. The fourth-order Runge–Kutta method structured with forward–backward sweep algorithm is implemented to arrive the numerical solutions. The graphical results show that adult vaccination is effective not only in reducing the infected adults but also in reducing the infected children. As a natural consequence of this, while adults return to their social and working lives very quickly thanks to vaccination, children also do not stay away from educational activities by this optimal vaccination strategy.

Suggested Citation

  • Derya Avcı & Mine Yurtoğlu, 2023. "An Optimal Vaccination Scenario for COVID-19 Transmission Between Children and Adults," Springer Optimization and Its Applications, in: Zakia Hammouch & Mohamed Lahby & Dumitru Baleanu (ed.), Mathematical Modeling and Intelligent Control for Combating Pandemics, pages 93-108, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-33183-1_6
    DOI: 10.1007/978-3-031-33183-1_6
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