{"title":"具有脉冲接种和垂直传播的延迟结核模型","authors":"Jingen Yang, Xuezhi Li, Xi-lai Zhang","doi":"10.3724/SP.J.1160.2013.00066","DOIUrl":null,"url":null,"abstract":"A HBV epidemic model with pulse vaccination and delay is researched,the vertical transmission of disease is considered aslo.The reproductive numbers R_1 and R_2 are defined.We point out,if R_1 1,the infection-free periodic solution of system is global asymptotic stable,while if R_2 1,the infectious persist.","PeriodicalId":62008,"journal":{"name":"应用泛函分析学报","volume":"15 1","pages":"66"},"PeriodicalIF":0.0000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Delay Tuberculosis Model with Impulsive Vaccination and Vertical Transmission\",\"authors\":\"Jingen Yang, Xuezhi Li, Xi-lai Zhang\",\"doi\":\"10.3724/SP.J.1160.2013.00066\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A HBV epidemic model with pulse vaccination and delay is researched,the vertical transmission of disease is considered aslo.The reproductive numbers R_1 and R_2 are defined.We point out,if R_1 1,the infection-free periodic solution of system is global asymptotic stable,while if R_2 1,the infectious persist.\",\"PeriodicalId\":62008,\"journal\":{\"name\":\"应用泛函分析学报\",\"volume\":\"15 1\",\"pages\":\"66\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"应用泛函分析学报\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.3724/SP.J.1160.2013.00066\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"应用泛函分析学报","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.3724/SP.J.1160.2013.00066","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Delay Tuberculosis Model with Impulsive Vaccination and Vertical Transmission
A HBV epidemic model with pulse vaccination and delay is researched,the vertical transmission of disease is considered aslo.The reproductive numbers R_1 and R_2 are defined.We point out,if R_1 1,the infection-free periodic solution of system is global asymptotic stable,while if R_2 1,the infectious persist.
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