关键词: 新冠肺炎, 医疗物资, 有限资源, 优化配置

Abstract: In the early stage of COVID-19 outbreak in 2020, the optimal allocation of medical supplies was a key issue for disease control. Based on the spread of the epidemic, the endowment of medical resources, and the ability of treatment, what kind of allocation strategy should a country or region adopt to reduce the spread of the epidemic? To discusses this issue theoretically, under the standard SIS model and limited resources constraint, we investigate the optimal allocation of medical supplies between people and hospitals that minimizes the number of infected people. We give the optimal solution under different prerequisites and verify the correctness of solutions and the long-term trend of infection rate through simulation data. We also expand the model to handle rapidly spreading outbreaks by increasing the number of medical supplies or ambulance personnel. This paper reflects on the medical supply allocation ways in different countries and regions during the epidemic and provides a theoretical analysis for the response to major emerging infectious diseases.

Key words: COVID-19, Medical Supplies, Limited Resources, Optimal Allocation