{"title":"具有隔离策略和时滞的SIQR流行病模型的全局动力学","authors":"Jing Xu, Nan-nan Zhang, Yonggang Ma","doi":"10.1115/1.859919.paper254","DOIUrl":null,"url":null,"abstract":"Global dynamics of an SIQR epidemic model with quarantine strategy and delay was studied.On the basis of the SIQR epidemic model,a new dynamic model with time delays describing H1N1 epidemic considering the latency of the disease and introducing discrete time-delay is established.The sharp threshold,basic reproduction number R0 which completely determines the global dynamics are obtained with a qualitative analysis of this model,the inherent rule of infectious diseases is revealed.","PeriodicalId":15446,"journal":{"name":"大连交通大学学报","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2011-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global Dynamics of an SIQR Epidemic Model with Quarantine Strategy and Time Delay\",\"authors\":\"Jing Xu, Nan-nan Zhang, Yonggang Ma\",\"doi\":\"10.1115/1.859919.paper254\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Global dynamics of an SIQR epidemic model with quarantine strategy and delay was studied.On the basis of the SIQR epidemic model,a new dynamic model with time delays describing H1N1 epidemic considering the latency of the disease and introducing discrete time-delay is established.The sharp threshold,basic reproduction number R0 which completely determines the global dynamics are obtained with a qualitative analysis of this model,the inherent rule of infectious diseases is revealed.\",\"PeriodicalId\":15446,\"journal\":{\"name\":\"大连交通大学学报\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"大连交通大学学报\",\"FirstCategoryId\":\"1087\",\"ListUrlMain\":\"https://doi.org/10.1115/1.859919.paper254\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"大连交通大学学报","FirstCategoryId":"1087","ListUrlMain":"https://doi.org/10.1115/1.859919.paper254","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global Dynamics of an SIQR Epidemic Model with Quarantine Strategy and Time Delay
Global dynamics of an SIQR epidemic model with quarantine strategy and delay was studied.On the basis of the SIQR epidemic model,a new dynamic model with time delays describing H1N1 epidemic considering the latency of the disease and introducing discrete time-delay is established.The sharp threshold,basic reproduction number R0 which completely determines the global dynamics are obtained with a qualitative analysis of this model,the inherent rule of infectious diseases is revealed.
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