{"title":"Covid-19 SIR 模型边界值问题的数学分析和数值求解","authors":"Serdar Saldiroğlu, S. Pamuk","doi":"10.37394/232020.2024.4.2","DOIUrl":null,"url":null,"abstract":"This paper extends the work presented at IX. International Istanbul Scientific Research Congress held on May, 14-15, 2022, Istanbul/Türkiye. In that Congress the Authors narrowly focused on the numerical solutions of a boundary value problem for the Covid-19 SIR model appearing in literature. In this study this boundary value problem is solved numerically for all cases and also the stability analysis of the equilibrium points of the model is presented. The basic reproduction number R_0 is obtained and the importance of this number for the stability and the instability of the equilibrium points is emphasized. Numerical solutions are obtained using bvp4c, a boundary value problem solver in MATLAB and the results are presented in figures.","PeriodicalId":509773,"journal":{"name":"PROOF","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical Analysis and Numerical Solution of a Boundary Value Problem for the Covid-19 SIR Model\",\"authors\":\"Serdar Saldiroğlu, S. Pamuk\",\"doi\":\"10.37394/232020.2024.4.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper extends the work presented at IX. International Istanbul Scientific Research Congress held on May, 14-15, 2022, Istanbul/Türkiye. In that Congress the Authors narrowly focused on the numerical solutions of a boundary value problem for the Covid-19 SIR model appearing in literature. In this study this boundary value problem is solved numerically for all cases and also the stability analysis of the equilibrium points of the model is presented. The basic reproduction number R_0 is obtained and the importance of this number for the stability and the instability of the equilibrium points is emphasized. Numerical solutions are obtained using bvp4c, a boundary value problem solver in MATLAB and the results are presented in figures.\",\"PeriodicalId\":509773,\"journal\":{\"name\":\"PROOF\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"PROOF\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37394/232020.2024.4.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"PROOF","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37394/232020.2024.4.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical Analysis and Numerical Solution of a Boundary Value Problem for the Covid-19 SIR Model
This paper extends the work presented at IX. International Istanbul Scientific Research Congress held on May, 14-15, 2022, Istanbul/Türkiye. In that Congress the Authors narrowly focused on the numerical solutions of a boundary value problem for the Covid-19 SIR model appearing in literature. In this study this boundary value problem is solved numerically for all cases and also the stability analysis of the equilibrium points of the model is presented. The basic reproduction number R_0 is obtained and the importance of this number for the stability and the instability of the equilibrium points is emphasized. Numerical solutions are obtained using bvp4c, a boundary value problem solver in MATLAB and the results are presented in figures.
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