{"title":"Fractional modeling dynamics of HIV and CD4+ T-cells during primary infection.","authors":"Aam Arafa, Sz Rida, M Khalil","doi":"10.1186/1753-4631-6-1","DOIUrl":null,"url":null,"abstract":"<p><p> In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4+ T cells. We study the effect of the changing the average number of viral particles N with different sets of initial conditions on the dynamics of the presented model. Generalized Euler method (GEM) will be used to find a numerical solution of the HIV-1 infection fractional order model.</p>","PeriodicalId":87480,"journal":{"name":"Nonlinear biomedical physics","volume":"6 1","pages":"1"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/1753-4631-6-1","citationCount":"175","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear biomedical physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1186/1753-4631-6-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 175
Abstract
In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4+ T cells. We study the effect of the changing the average number of viral particles N with different sets of initial conditions on the dynamics of the presented model. Generalized Euler method (GEM) will be used to find a numerical solution of the HIV-1 infection fractional order model.
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