基于传播动力学及普适SEIR (susceptible-exposed-infectious-recovered/removed)模型和程序Epi SIX (模型总参数只有10个),实时跟踪国家及各地卫生健康委员会(简称卫健委)自2019年12月12日以来发布的确诊数据,对新型冠状病毒肺炎(简称...基于传播动力学及普适SEIR (susceptible-exposed-infectious-recovered/removed)模型和程序Epi SIX (模型总参数只有10个),实时跟踪国家及各地卫生健康委员会(简称卫健委)自2019年12月12日以来发布的确诊数据,对新型冠状病毒肺炎(简称新冠肺炎)疫情的流行趋势进行了研判,对疾控策略的效率进行了评估,并将相应的建议提供给疾控方参考.特别地,厘清了这次疫情的流行病学基本参数,如基本再生数、平均潜伏期、平均传染期、非典型患者占比和流行趋势,包括流行时间、疫情拐点、流行规模,并分析了控制强度对传播的影响等.同时创建了一个网页来更新预测结果.展开更多
The SEIR epidemic model studied here includes constant inflows of new susceptibles, exposeds, infectives, and recovereds. This model also incorporates a population size dependent contact rate and a disease-related dea...The SEIR epidemic model studied here includes constant inflows of new susceptibles, exposeds, infectives, and recovereds. This model also incorporates a population size dependent contact rate and a disease-related death. As the infected fraction cannot be eliminated from the population, this kind of model has only the unique endemic equilibrium that is globally asymptotically stable. Under the special case where the new members of immigration are all susceptible, the model considered here shows a threshold phenomenon and a sharp threshold has been obtained. In order to prove the global asymptotical stability of the endemic equilibrium, the authors introduce the change of variable, which can reduce our four-dimensional system to a three-dimensional asymptotical autonomous system with limit equation.展开更多
文摘基于传播动力学及普适SEIR (susceptible-exposed-infectious-recovered/removed)模型和程序Epi SIX (模型总参数只有10个),实时跟踪国家及各地卫生健康委员会(简称卫健委)自2019年12月12日以来发布的确诊数据,对新型冠状病毒肺炎(简称新冠肺炎)疫情的流行趋势进行了研判,对疾控策略的效率进行了评估,并将相应的建议提供给疾控方参考.特别地,厘清了这次疫情的流行病学基本参数,如基本再生数、平均潜伏期、平均传染期、非典型患者占比和流行趋势,包括流行时间、疫情拐点、流行规模,并分析了控制强度对传播的影响等.同时创建了一个网页来更新预测结果.
基金This research is supported by the NNSF of China (19971066)
文摘The SEIR epidemic model studied here includes constant inflows of new susceptibles, exposeds, infectives, and recovereds. This model also incorporates a population size dependent contact rate and a disease-related death. As the infected fraction cannot be eliminated from the population, this kind of model has only the unique endemic equilibrium that is globally asymptotically stable. Under the special case where the new members of immigration are all susceptible, the model considered here shows a threshold phenomenon and a sharp threshold has been obtained. In order to prove the global asymptotical stability of the endemic equilibrium, the authors introduce the change of variable, which can reduce our four-dimensional system to a three-dimensional asymptotical autonomous system with limit equation.
