Study on the Effectiveness of COVID-19 Intervention Based on Improved SIR Model (Preprint)
BACKGROUND The COVID-19 has been rapidly spreading across China's provinces, neighboring countries and all over the world since its outbreak in Wuhan, China in January 2020. At present, there are still many countries in the world suffering from it and struggle against it. OBJECTIVE The purpose of this paper is to prove the effectiveness of interventions implemented by some countries, so as to provide reference for other countries and future epidemics. METHODS We segment the cases data according to the implementation time of the intervention and put them into the improved SIR model which take the time–varying epidemiological parameters and the influence of time delay into account to evaluate the effectiveness of each intervention. RESULTS We employed the data of Italy, Britain and Spain to do the experiment, which is divided into four stages, three stages and four stages. Italy got the best time delay when days=4 and the quantification of the effectiveness of different interventions was 0.0254, 0.023 and 0.0147, respectively. The time delay in Britain was the best at 5 days, and the corresponding results were 0.0078 and -0.0095. The best time delay in Spain is 3 days, and the corresponding results were 0.2744, 0.2321 and -0.1033. Finally, we calculated the real reproductive number R in contrast to hypothetical R and found that the real reproductive number R have been lowered by interventions in various degree. CONCLUSIONS The results show that even though the effectiveness and time delays of different interventions vary from country to country, interventions can indeed reduce infected population by markedly decreasing reproductive number R. Therefore, intervention measures should be taken in time to slow down the development of the epidemic, reduce the number of infected people and economic losses.