Optimal control strategies for mild and severe patients under the epidemic diffusion

The widespread spread of the epidemic has caused great damage to human beings. In order to coordinate the layout and utilization of medical resources, the focus is to do a good job in the medical treatment and management of the severe patients in epidemics. We classify patients and implement different control strategies for mild patients and severe patients. This paper takes into account the economic impact of the epidemic diffusion, in addition to the medical expenses cost, the loss of human resources is also an important part. Inspired by the optimal control theory, the solution of the optimal control model is calculated. Finally, through numerical simulation, the optimal control strategy is implemented on the ER network, and the necessity and effectiveness of classified treatment for patients are proved.