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2015 Incubation periods under various anti-retroviral therapies in homogeneous mixing and age-structured dynamical models: A theoretical approach
Arni S.R. Srinivasa Rao
Rocky Mountain J. Math. 45(3): 973-1031 (2015). DOI: 10.1216/RMJ-2015-45-3-973

Abstract

With the launch of second line anti-retroviral therapy for HIV infected individuals, there has been an increased expectation of survival %period for people with HIV. We consider previously well-known models in HIV epidemiology where the parameter for the incubation period is used as one of the important components to explain the dynamics of the variables. Such models are extended here to explain the dynamics with respect to a given therapy that prolongs the life of an HIV infected individual. A deconvolution method is demonstrated for estimation of parameters in the situations when no-therapy and multiple therapies are given to the infected population. The models and deconvolution method are extended in order to study the impact of therapy in age-structured populations. A generalization for a situation when $n$-types of therapies are available is given. Models are demonstrated using hypothetical data, and sensitivity of the parameters is also computed.

Citation

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Arni S.R. Srinivasa Rao. "Incubation periods under various anti-retroviral therapies in homogeneous mixing and age-structured dynamical models: A theoretical approach." Rocky Mountain J. Math. 45 (3) 973 - 1031, 2015. https://doi.org/10.1216/RMJ-2015-45-3-973

Information

Published: 2015
First available in Project Euclid: 21 August 2015

zbMATH: 1350.92027
MathSciNet: MR3385973
Digital Object Identifier: 10.1216/RMJ-2015-45-3-973

Subjects:
Primary: 44A35, 62A10, 92D30

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

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Vol.45 • No. 3 • 2015
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