{"title":"运动和治疗影响下乙型肝炎疾病传播的分数动力学模型","authors":"Muhafzan","doi":"10.28919/cmbn/8085","DOIUrl":null,"url":null,"abstract":". In this work, we present a fractional dynamic model to describe the spread of Hepatitis B disease in human population under influence of campaign and treatment parameters. It was shown that the stability of disease-free equilibrium and disease endemic equilibrium depend on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the media campaigns and treatment increase susceptible subpopulations, reduce infectious ones, and increase recovered subpopulations, thus the model gives adequate information about the spread of the Hepatitis B virus.","PeriodicalId":44079,"journal":{"name":"Communications in Mathematical Biology and Neuroscience","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Fractional dynamics model of hepatitis B disease spread under influence of campaign and treatment\",\"authors\":\"Muhafzan\",\"doi\":\"10.28919/cmbn/8085\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this work, we present a fractional dynamic model to describe the spread of Hepatitis B disease in human population under influence of campaign and treatment parameters. It was shown that the stability of disease-free equilibrium and disease endemic equilibrium depend on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the media campaigns and treatment increase susceptible subpopulations, reduce infectious ones, and increase recovered subpopulations, thus the model gives adequate information about the spread of the Hepatitis B virus.\",\"PeriodicalId\":44079,\"journal\":{\"name\":\"Communications in Mathematical Biology and Neuroscience\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematical Biology and Neuroscience\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28919/cmbn/8085\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematical Biology and Neuroscience","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/cmbn/8085","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
A Fractional dynamics model of hepatitis B disease spread under influence of campaign and treatment
. In this work, we present a fractional dynamic model to describe the spread of Hepatitis B disease in human population under influence of campaign and treatment parameters. It was shown that the stability of disease-free equilibrium and disease endemic equilibrium depend on the basic reproduction number. These results are in accordance with the epidemic theory. A numerical example is given to demonstrate the validity of the results. The results show that the media campaigns and treatment increase susceptible subpopulations, reduce infectious ones, and increase recovered subpopulations, thus the model gives adequate information about the spread of the Hepatitis B virus.
期刊介绍:
Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.