{"title":"乙型肝炎病毒疾病传播动力学的数值模拟","authors":"Anmole Razzaq","doi":"10.7176/mtm/9-1-04","DOIUrl":null,"url":null,"abstract":"Numerical modeling of communicable disease is a device to appreciate the instrument in what way syndrome pushovers and in what way stately. we have studied numerically the dynamics of HBV. We frame an entirely constant Non-Standard Finite Difference (NSFD) structure for a mathematical model of HBV. The introduce numerical array is bounded, dynamically designate and contain the positivity of the solution, which is one of the important requirements when modeling a prevalent contagious. The comparison between the innovative Non-Standard Finite Alteration structure, Euler method and Runge-Kutta scheme of order four (RK-4) displays the usefulness of the suggested Non-Standard Finite Alteration scheme. NSFD scheme shows convergence to the exact equilibrium facts of the model for any time steps used but Euler and RK-4 fail for large time steps. Keywords: Hepatitis B Disease, Dynamical System, Numerical Modeling, Convergence. DOI : 10.7176/MTM/9-1-04","PeriodicalId":394772,"journal":{"name":"Mathematical Theory and Modeling","volume":"203 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Modeling for Transmission Dynamics of Hepatitis B Virus Disease\",\"authors\":\"Anmole Razzaq\",\"doi\":\"10.7176/mtm/9-1-04\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Numerical modeling of communicable disease is a device to appreciate the instrument in what way syndrome pushovers and in what way stately. we have studied numerically the dynamics of HBV. We frame an entirely constant Non-Standard Finite Difference (NSFD) structure for a mathematical model of HBV. The introduce numerical array is bounded, dynamically designate and contain the positivity of the solution, which is one of the important requirements when modeling a prevalent contagious. The comparison between the innovative Non-Standard Finite Alteration structure, Euler method and Runge-Kutta scheme of order four (RK-4) displays the usefulness of the suggested Non-Standard Finite Alteration scheme. NSFD scheme shows convergence to the exact equilibrium facts of the model for any time steps used but Euler and RK-4 fail for large time steps. Keywords: Hepatitis B Disease, Dynamical System, Numerical Modeling, Convergence. DOI : 10.7176/MTM/9-1-04\",\"PeriodicalId\":394772,\"journal\":{\"name\":\"Mathematical Theory and Modeling\",\"volume\":\"203 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Theory and Modeling\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7176/mtm/9-1-04\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Theory and Modeling","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7176/mtm/9-1-04","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Modeling for Transmission Dynamics of Hepatitis B Virus Disease
Numerical modeling of communicable disease is a device to appreciate the instrument in what way syndrome pushovers and in what way stately. we have studied numerically the dynamics of HBV. We frame an entirely constant Non-Standard Finite Difference (NSFD) structure for a mathematical model of HBV. The introduce numerical array is bounded, dynamically designate and contain the positivity of the solution, which is one of the important requirements when modeling a prevalent contagious. The comparison between the innovative Non-Standard Finite Alteration structure, Euler method and Runge-Kutta scheme of order four (RK-4) displays the usefulness of the suggested Non-Standard Finite Alteration scheme. NSFD scheme shows convergence to the exact equilibrium facts of the model for any time steps used but Euler and RK-4 fail for large time steps. Keywords: Hepatitis B Disease, Dynamical System, Numerical Modeling, Convergence. DOI : 10.7176/MTM/9-1-04
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