{"title":"模拟伤寒疾病的半解析解","authors":"Balaganesan Palanivelu","doi":"10.24321/2278.2044.202226","DOIUrl":null,"url":null,"abstract":"To analyze the optimal control of the Typhoid fever virus a mathematical modeling was developed by Getachew Teshome Tilahun. We have approached a Homotopy Perturbation Method to solve a linear differential equation. An analytical solution of Susceptible People(S), Infected People (I), Carrier People (C), Recovered People (R), and Bacteria People ( is obtained and compared with simulation results. A significant agreement is produced when approximate analytical results are compared to numerical simulation. The treatment rate of infectious disease (, Natural death rate (and typhoid-induced death rates (α) are discussed.","PeriodicalId":276735,"journal":{"name":"Chettinad Health City Medical Journal","volume":"446 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Semi - Analytical Solution of Modelled Typhoid Fever Disease\",\"authors\":\"Balaganesan Palanivelu\",\"doi\":\"10.24321/2278.2044.202226\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"To analyze the optimal control of the Typhoid fever virus a mathematical modeling was developed by Getachew Teshome Tilahun. We have approached a Homotopy Perturbation Method to solve a linear differential equation. An analytical solution of Susceptible People(S), Infected People (I), Carrier People (C), Recovered People (R), and Bacteria People ( is obtained and compared with simulation results. A significant agreement is produced when approximate analytical results are compared to numerical simulation. The treatment rate of infectious disease (, Natural death rate (and typhoid-induced death rates (α) are discussed.\",\"PeriodicalId\":276735,\"journal\":{\"name\":\"Chettinad Health City Medical Journal\",\"volume\":\"446 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Chettinad Health City Medical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24321/2278.2044.202226\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Chettinad Health City Medical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24321/2278.2044.202226","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Semi - Analytical Solution of Modelled Typhoid Fever Disease
To analyze the optimal control of the Typhoid fever virus a mathematical modeling was developed by Getachew Teshome Tilahun. We have approached a Homotopy Perturbation Method to solve a linear differential equation. An analytical solution of Susceptible People(S), Infected People (I), Carrier People (C), Recovered People (R), and Bacteria People ( is obtained and compared with simulation results. A significant agreement is produced when approximate analytical results are compared to numerical simulation. The treatment rate of infectious disease (, Natural death rate (and typhoid-induced death rates (α) are discussed.