An in-host model of HIV incorporating latent infection and viral mutation

Stephen Pankavich; Deborah  Shutt

doi:10.3934/proc.2015.0913

Article Contents

2015, Volume 2015: 913-922. Doi: 10.3934/proc.2015.0913 open access

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An in-host model of HIV incorporating latent infection and viral mutation

Stephen Pankavich^1, and
Deborah Shutt^2,

1.
Department of Applied Mathematics and Statistics, Colorado School of Mines, 1500 Illinois St, Golden, CO 80401
2.
Department of Applied Mathematics and Statistics, Colorado School of Mines, Golden, CO 80401

Received: August 31, 2014

Revised: July 31, 2015

Published: October 2015

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Abstract

We construct a seven-component model of the in-host dynamics of the Human Immunodeficiency Virus Type-1 (i.e, HIV) that accounts for latent infection and the propensity of viral mutation. A dynamical analysis is conducted and a theorem is presented which characterizes the long time behavior of the model. Finally, we study the effects of an antiretroviral drug and treatment implications.

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Mathematics Subject Classification: Primary: 37N25, 92B05; Secondary: 34D20.

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References

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