%0 Journal Article
%T Transmission Dynamics and Optimal Control Strategies of a Hand-Foot-Mouth Disease Model with Treatment and Vaccination Interventions
%A Jianping Wang
%A Shenghua Zou
%A Zhicai Guo
%J Journal of Applied Mathematics and Physics
%P 2007-2019
%@ 2327-4379
%D 2024
%I Scientific Research Publishing
%R 10.4236/jamp.2024.126122
%X 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 <i>R</i><sub>0</sub> < 1, and the disease persistent when <i>R</i><sub>0</sub> > 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.
%K Hand-Foot-Mouth Disease
%K Optimal Control
%K Transmission Dynamic
%K Vaccination Interventions
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=133738