Author(s)

Jianping Wang, Shenghua Zou, Zhicai Guo^*

The Department of Basic Course Education, Ji’an College, Ji’an, China.

In this article, the transmission dynamics of a Hand-Foot-Mouth disease model with treatment and vaccination interventions are studied. We calculated the basic reproduction number and proved the global stability of disease-free equilibrium when R₀ < 1, and the disease persistent when R₀ > 1. Meanwhile, we obtained the optimal control strategies minimizing the cost of intervention and minimizing the infected person. We also give some numerical simulations to verify our theoretical results.

Hand-Foot-Mouth Disease, Optimal Control, Transmission Dynamic, Vaccination Interventions

Wang, J. , Zou, S. and Guo, Z. (2024) Transmission Dynamics and Optimal Control Strategies of a Hand-Foot-Mouth Disease Model with Treatment and Vaccination Interventions. Journal of Applied Mathematics and Physics, 12, 2007-2019. doi: 10.4236/jamp.2024.126122.