Comparative Study of Some Numerical Schemes for a Fractional Order Model of HIV Infection Treatment

A fractional order mathematical model that already exists in the literature, was considered. This established to study effects of medicinal treatment people infected with human immunodeficiency virus (HIV). The importance this is evaluates, among other parameters, density healthy and HIV-infected CD4+ T cells. These data are very necessary for subject by given an antiretroviral causes it. objective work consider several numerical schemes involve derivatives compare their behaviors obtain a good approximation mentioned solution. Convergence these will be studied as well sensitivity respect variation parameters η (drug efficacy) α (fractional derivative order). Furthermore, through collection medical records living HIV, it intended determine optimal classical model.