Operations Research Transactions ›› 2020, Vol. 24 ›› Issue (3): 27-42.doi: 10.15960/j.cnki.issn.1007-6093.2020.03.002

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A dynamic transmission rate model and its application in epidemic analysis

HU Yunhe1, LIU Yanyun2, WU Lingxiao1, WANG Jie1, KONG Jing1, ZHANG Yi3, DAI Yuhong4,*, YANG Zhouwang1   

  1. 1. University of Science and Technology of China, Hefei 230026, China;
    2. School of Mathematical Sciences, Peking University, Beijing 100871, China;
    3. Beijing Institute of Big Data Research, Beijing 100871, China;
    4. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
  • Received:2020-03-16 Published:2020-09-05

Abstract: This paper applies a data-driven dynamic transmission rate to replace the basic reproduction number $R_0$ and studies the characteristics and trends of the development of COVID-19 at both national and provincial levels. Firstly, based on the dynamic growth rate, an ordinary differential equation for infectious diseases is established, which can derive the dynamic transmission rate model. Secondly, this paper selects the power function as the fitting function of the dynamic transmission rate, and uses 3 days as the optimal sliding window period to estimate the inflection points in different regions. Finally, using the dynamic model, this paper predicts the starting point of the end phase of the epidemic at different levels in various places, and then compares and analyzes 9 epidemic-related indicators among 13 provinces and cities. The results show that the dynamic transmission rates in all regions have steadily declined after a brief fluctuation, which means the epidemic situation has been effectively controlled; the date of the estimated inflection points are mainly concentrated in mid-February, and the predicted end phase will come before the end of March; at the same time, there are some differences in the characteristics and trends of the epidemic situation as well as the intensity and effectiveness of prevention and control measures.

Key words: COVID-19, existing infected case number, dynamic growth rate, dynamic transmission rate, inflection point, end phase

CLC Number: