The Dynamics and Optimal Control of a Hand-Foot-Mouth Disease Model.

The Dynamics and Optimal Control of a Hand-Foot-Mouth Disease Model. Comput Math Methods Med. 2018;2018:9254794 Authors: Tan H, Cao H Abstract We build and study the transmission dynamics of a hand-foot-mouth disease model with vaccination. The reproduction number is given, the existence of equilibria is obtained, and the global stability of disease-free equilibrium is proved by constructing the Lyapunov function. We also apply optimal control theory to the hand-foot-mouth disease model. The treatment and vaccination interventions are considered in the hand-foot-mouth disease model, and the optimal control strategies based on minimizing the cost of intervention and minimizing the number of the infected people are given. Numerical results show the usefulness of the optimization strategies. PMID: 30073033 [PubMed - in process]
Source: Computational and Mathematical Methods in Medicine - Category: Statistics Tags: Comput Math Methods Med Source Type: research