{"title":"具有脉冲输入和时滞的流行病系统分析","authors":"Wencai Zhao, Tongqian Zhang, Xinzhu Meng, Zhengbo Chang","doi":"10.1109/CECNET.2012.6202112","DOIUrl":null,"url":null,"abstract":"In this paper, an SEIRS epidemic disease model with double delays of latent period and immune period is formulated, and the global dynamics behaviors of the model under pulse input and vaccination are analyzed. By use of the stroboscopic map, an `infection-free' periodic solution is obtained, and the global attractivity of the `infection-free' periodic solution is given.","PeriodicalId":135557,"journal":{"name":"2012 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet)","volume":"58 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analysis of an epidemic system with impulsive input and time delays\",\"authors\":\"Wencai Zhao, Tongqian Zhang, Xinzhu Meng, Zhengbo Chang\",\"doi\":\"10.1109/CECNET.2012.6202112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, an SEIRS epidemic disease model with double delays of latent period and immune period is formulated, and the global dynamics behaviors of the model under pulse input and vaccination are analyzed. By use of the stroboscopic map, an `infection-free' periodic solution is obtained, and the global attractivity of the `infection-free' periodic solution is given.\",\"PeriodicalId\":135557,\"journal\":{\"name\":\"2012 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet)\",\"volume\":\"58 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-05-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CECNET.2012.6202112\",\"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 2nd International Conference on Consumer Electronics, Communications and Networks (CECNet)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CECNET.2012.6202112","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Analysis of an epidemic system with impulsive input and time delays
In this paper, an SEIRS epidemic disease model with double delays of latent period and immune period is formulated, and the global dynamics behaviors of the model under pulse input and vaccination are analyzed. By use of the stroboscopic map, an `infection-free' periodic solution is obtained, and the global attractivity of the `infection-free' periodic solution is given.
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