Abstract:Novel coronavirus is a new type of virus, and its transmission characteristics are different from previous virus. Infected people not only have an incubation period, but also a large number of asymptomatic infections. Based on the classic model SEIR, this study redefines the latent state as close contact state, introduces an asymptomatic state of infection, and the influence of time on the state transition parameters in the model is considered, proposed a new transmission model which includes five types of states: susceptible state, close contact state, asymptomatic infection state, infected state, and removed state. The model uses the actual epidemic data of Hubei Province to conduct experiments, and uses RMSE and MAPE as evaluation indicators to compare the experimental results. The results show that the fitting accuracy of the SCUIR model has been significantly improved. Compared with the traditional model, the fitting error is reduced by 8.3%~47.6%, and hidden data that is difficult to count in the epidemic can be calculated, which further characterizes the mechanism of epidemic transmission.
李冯, 宾晟, 孙更新. 基于时变参数的SCUIR传播模型的构建与研究[J]. 复杂系统与复杂性科学, 2022, 19(2): 80-86.
LI Feng, BIN Sheng, SUN Gengxin. Based on Time-varying Parameters. Complex Systems and Complexity Science, 2022, 19(2): 80-86.
[1] 严阅,陈瑜,刘可伋,等.基于一类时滞动力学系统对新型冠状病毒肺炎疫情的建模和预测[J].中国科学:数学,2020,50(3):385-392. YAN Y, CHEN Y, LIU K J, et al. Modeling and prediction of novel coronavirus pneumonia based on a kind of time delay dynamic system[J]. Science in China: Mathematics, 2020, 50(3):385-392. [2] 桑茂盛,丁一,包铭磊,等.基于新冠病毒特征及防控措施的传播动力学模型[J].系统工程理论与实践,2021,41(1):124-133. SANG M S, DING Y, BAO M L, et al. Transmission dynamics model based on the characteristics of the new coronavirus and prevention and control measures [J]. System Engineering Theory and Practice, 2021, 41(1): 124-133. [3] 耿辉,徐安定,王晓艳,等.基于SEIR模型分析相关干预措施在新型冠状病毒肺炎疫情中的作用[J].暨南大学学报(自然科学与医学版),2020,41(2):175-180. GENG H, XU A D, WANG X Y, et al. Analysis of the role of related interventions in the new coronavirus pneumonia epidemic based on the SEIR model [J]. Journal of Ji'nan University (Natural Science and Medicine Edition), 2020, 41(2): 175-180. [4] NDAÏROU F, AREA I, NIETO J, et al. Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan[J]. Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, 2020, 135: 109846. [5] 曹盛力,冯沛华,时朋朋.修正SEIR传染病动力学模型应用于湖北省2019冠状病毒病(COVID-19)疫情预测和评估[J].浙江大学学报(医学版),2020,49(2):178-184. CAO S L, FENG P H, SHI P P. Modified SEIR infectious disease dynamics model applied to the prediction and evaluation of COVID-19 epidemic situation in Hubei Province [J]. Journal of Zhejiang University (Medical Edition), 2020, 49(2):178-184. [6] DE SOUZA S L T, BATISTA A M, CALDAS I L, et al. Dynamics of epidemics: Impact of easing restrictions and control of infection spread.[J]. Chaos, solitons, and fractals, 2021,142: 110431. [7] KERMACK W O, MCKENDRICK A G. Contributions to the mathematical theory of epidemics--I. 1927.[J]. Bulletin of mathematical biology, 1991, 53(1/2): 33-55. [8] ANDERSON R M, MAY R M. Infectious Diseases of Humans: Dynamics and Control[M]. Oxford: Oxford University. Press,1991:99. [9] 喻孜,张贵清,刘庆珍,等.基于时变参数-SIR模型的COVID-19疫情评估和预测[J].电子科技大学学报,2020,49(3):357-361. YU Z, ZHANG G Q, LIU Q Z, et al. Evaluation and prediction of COVID-19 epidemic based on time-varying parameter-SIR model[J]. Journal of University of Electronic Science and Technology of China, 2020, 49(3): 357-361. [10] WU J T, LEUNG K, LEUNG G M. Nowcasting and forecasting the potential domestic and international spread of the 2019-nCoV outbreak originating in Wuhan, China: a modelling study[J]. The Lancet, 2020, 395(10225): 689-697. [11] 林俊锋.基于引入隐形传播者的SEIR模型的COVID-19疫情分析和预测[J].电子科技大学学报,2020,49(3):375-382. LIN J F. Analysis and prediction of COVID-19 epidemic based on SEIR model with invisible communicator[J]. Journal of University of Electronic Science and Technology of China, 2020, 49(3): 375-382. [12] LIU Z, MAGAL P, SEYDI O, et al. Understanding unreported cases in the 2019-ncov epidemic outbreak in Wuhan, China, and the importance of major public health interventions[J]. SSRN, 2020,9(3): 50. [13] YUAN R, MA Y, SHEN C, et al. Global dynamics of COVID-19 epidemic model with recessive infection and isolation.[J]. Mathematical Biosciences and Engineering: MBE, 2021, 18(2): 1833-1844. [14] KOROLEV I. Identification and estimation of the SEIRD epidemic model for COVID-19[J]. Journal of Econometrics, 2021, 220(1): 013155. [15] ZHAI Z M, LONG Y S, TANG M, er al. Optimal inference of the start of COVID-19[J]. Phys Rev Research,2021, 3(1):013155.