The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model
| dc.Affiliation | October University for modern sciences and Arts (MSA) | |
| dc.contributor.author | Arafa A.A.M. | |
| dc.contributor.author | Rida S.Z. | |
| dc.contributor.author | Khalil M. | |
| dc.contributor.other | Department of Mathematics | |
| dc.contributor.other | Faculty of Science | |
| dc.contributor.other | South Valley University | |
| dc.contributor.other | Qena | |
| dc.contributor.other | Egypt; Department of Mathematics | |
| dc.contributor.other | Faculty of Engineering | |
| dc.contributor.other | Modern Science and Arts University (MSA) | |
| dc.contributor.other | Giza | |
| dc.contributor.other | Egypt | |
| dc.date.accessioned | 2020-01-09T20:42:27Z | |
| dc.date.available | 2020-01-09T20:42:27Z | |
| dc.date.issued | 2013 | |
| dc.description | Scopus | |
| dc.description.abstract | In this paper, generalized Euler method (GEM) and homotopy analysis method (HAM) are performed to solve the problem of the population dynamics of the human immunodeficiency type 1 virus (HIV-1). We introduce fractional orders to the model of HIV-1 whose components are plasma densities of uninfected CD4+ T-cells, the infected such cells and the free virus. The effect of the drug treatment of HIV-1 will be discussed in this paper. � 2012 Elsevier Inc. | en_US |
| dc.description.uri | https://www.scimagojr.com/journalsearch.php?q=28065&tip=sid&clean=0 | |
| dc.identifier.doi | https://doi.org/10.1016/j.apm.2012.05.002 | |
| dc.identifier.doi | PubMed ID : | |
| dc.identifier.issn | 0307904X | |
| dc.identifier.other | https://doi.org/10.1016/j.apm.2012.05.002 | |
| dc.identifier.other | PubMed ID : | |
| dc.identifier.uri | https://cutt.ly/VrRnDMI | |
| dc.language.iso | English | en_US |
| dc.relation.ispartofseries | Applied Mathematical Modelling | |
| dc.relation.ispartofseries | 37 | |
| dc.subject | Caputo fractional derivative | en_US |
| dc.subject | Generalized Euler method | en_US |
| dc.subject | HIV model | en_US |
| dc.subject | Homotopy analysis method | en_US |
| dc.subject | Numerical solution | en_US |
| dc.subject | Caputo fractional derivatives | en_US |
| dc.subject | Euler method | en_US |
| dc.subject | HIV models | en_US |
| dc.subject | Homotopy analysis methods | en_US |
| dc.subject | Numerical solution | en_US |
| dc.subject | Differentiation (calculus) | en_US |
| dc.subject | Drug therapy | en_US |
| dc.subject | Plasma density | en_US |
| dc.subject | Viruses | en_US |
| dc.subject | Diseases | en_US |
| dc.title | The effect of anti-viral drug treatment of human immunodeficiency virus type 1 (HIV-1) described by a fractional order model | en_US |
| dc.type | Article | en_US |
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| dcterms.source | Scopus |