{"title":"具有不同总体规模和疫苗接种的SEIR模型的定性分析","authors":"Huitao Zhao, Yunxian Dai, Yiping Lin","doi":"10.1109/IWCFTA.2012.31","DOIUrl":null,"url":null,"abstract":"An SEIR model with varying total population size and continuous vaccination is proposed. The stability of the disease-free equilibrium is discussed, and the global stability of the disease-free equilibrium is discussed with the Lasalle's invariance principle. Using analytical methods, the existence and uniqueness of the positive equilibrium are obtained, and it's stability is also discussed by Routh-Hurwith criterion. Finally, numerical simulations are also included.","PeriodicalId":354870,"journal":{"name":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Qualitative Analysis of an SEIR Model with Varying Total Population Size and Vaccination\",\"authors\":\"Huitao Zhao, Yunxian Dai, Yiping Lin\",\"doi\":\"10.1109/IWCFTA.2012.31\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An SEIR model with varying total population size and continuous vaccination is proposed. The stability of the disease-free equilibrium is discussed, and the global stability of the disease-free equilibrium is discussed with the Lasalle's invariance principle. Using analytical methods, the existence and uniqueness of the positive equilibrium are obtained, and it's stability is also discussed by Routh-Hurwith criterion. Finally, numerical simulations are also included.\",\"PeriodicalId\":354870,\"journal\":{\"name\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"volume\":\"62 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Fifth International Workshop on Chaos-fractals Theories and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IWCFTA.2012.31\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Fifth International Workshop on Chaos-fractals Theories and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IWCFTA.2012.31","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Qualitative Analysis of an SEIR Model with Varying Total Population Size and Vaccination
An SEIR model with varying total population size and continuous vaccination is proposed. The stability of the disease-free equilibrium is discussed, and the global stability of the disease-free equilibrium is discussed with the Lasalle's invariance principle. Using analytical methods, the existence and uniqueness of the positive equilibrium are obtained, and it's stability is also discussed by Routh-Hurwith criterion. Finally, numerical simulations are also included.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
