{"title":"用Adomian分解法求解登革热SIR流行模型","authors":"Y. Lede, S. Mungkasi","doi":"10.4108/eai.20-9-2019.2292122","DOIUrl":null,"url":null,"abstract":"In this paper, we solve a SIR (Susceptible-Infectious-Recovered) epidemic model of dengue fever. The SIR model is difficult to solve exact-analyticaly. Therefore, we use an approximate method. The method that we use is the Adomian decomposition method. The method produces approximate solutions as series. With only three terms in the series, we observe that the approximate solutions are observed. This means that the Adomian decomposition method can be used in solving the SIR model.","PeriodicalId":231422,"journal":{"name":"Proceedings of the 2nd International Conference of Science and Technology for the Internet of Things, ICSTI 2019, September 3rd 2019, Yogyakarta, Indonesia","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Adomian Decomposition Method Used to Solve a SIR Epidemic Model of Dengue Fever\",\"authors\":\"Y. Lede, S. Mungkasi\",\"doi\":\"10.4108/eai.20-9-2019.2292122\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we solve a SIR (Susceptible-Infectious-Recovered) epidemic model of dengue fever. The SIR model is difficult to solve exact-analyticaly. Therefore, we use an approximate method. The method that we use is the Adomian decomposition method. The method produces approximate solutions as series. With only three terms in the series, we observe that the approximate solutions are observed. This means that the Adomian decomposition method can be used in solving the SIR model.\",\"PeriodicalId\":231422,\"journal\":{\"name\":\"Proceedings of the 2nd International Conference of Science and Technology for the Internet of Things, ICSTI 2019, September 3rd 2019, Yogyakarta, Indonesia\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 2nd International Conference of Science and Technology for the Internet of Things, ICSTI 2019, September 3rd 2019, Yogyakarta, Indonesia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4108/eai.20-9-2019.2292122\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2nd International Conference of Science and Technology for the Internet of Things, ICSTI 2019, September 3rd 2019, Yogyakarta, Indonesia","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4108/eai.20-9-2019.2292122","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Adomian Decomposition Method Used to Solve a SIR Epidemic Model of Dengue Fever
In this paper, we solve a SIR (Susceptible-Infectious-Recovered) epidemic model of dengue fever. The SIR model is difficult to solve exact-analyticaly. Therefore, we use an approximate method. The method that we use is the Adomian decomposition method. The method produces approximate solutions as series. With only three terms in the series, we observe that the approximate solutions are observed. This means that the Adomian decomposition method can be used in solving the SIR model.
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