Vol. 8, No. 3, 2015

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A mathematical model for the emergence of HIV drug resistance during periodic bang-bang type antiretroviral treatment

Nicoleta Tarfulea and Paul Read

Vol. 8 (2015), No. 3, 401–420

In treating HIV infection, strict adherence to drug therapy is crucial in maintaining a low viral load, but the high dosages required for this often have toxic side effects which make perfect adherence to antiretroviral therapy (ART) unsustainable. Moreover, even in the presence of drug therapy, ongoing viral replication can lead to the emergence of drug-resistant virus variances. We introduce a mathematical model that incorporates two viral strains, wild-type and drug-resistant, to theoretically and numerically investigate HIV pathogenesis during ART. A periodic model of bang-bang type is employed to estimate the drug efficacies. Furthermore, we numerically investigate the antiviral response and we characterize successful drugs or drug combination scenarios for both strains of the virus.

HIV dynamics, time-varying antiretroviral treatment, drug resistance
Mathematical Subject Classification 2010
Primary: 92D30
Secondary: 92B05, 34A34
Received: 6 July 2011
Revised: 8 August 2013
Accepted: 31 May 2014
Published: 5 June 2015

Communicated by Suzanne Lenhart
Nicoleta Tarfulea
Mathematics, Computer Science and Statistics
Purdue University Calumet
2200 169th Street
Hammond, IN 46323
United States
Paul Read
Purdue University Calumet
2200 196th Street
Hammond, IN 46323
United States