A stochastic model for the HIV/AIDS dynamic evolution
type: Item
instance of: scholarly article
title: A stochastic model for the HIV/AIDS dynamic evolution
zbMATH Open document ID: 1360.92068
DOI: 10.1155/2007/65636
author: Giuseppe Di Biase
author: Guglielmo D'Amico
author: Arturo Di Girolamo
author: Jacques Janssen
author: Stefano Iacobelli
author: Nicola Tinari
author: Raimondo Manca
published in: Mathematical Problems in Engineering
publication date: 2008-11-24T00:00:00Z
review text: Summary: This paper analyses the HIV/AIDS dynamic evolution as defined by CD4 levels, from a macroscopic point of view, by means of homogeneous semi-Markov stochastic processes. A large number of results have been obtained including the following conditional probabilities: an infected patient will be in state \(j\) after a time \(t\) given that she/he entered at time 0 (starting time) in state \(i\); that she/he will survive up to a time \(t\), given the starting state; that she/he will continue to remain in the starting state up to time \(t\); that she/he reach stage \(j\) of the disease in the next transition, if the previous state was \(i\) and no state change occurred up to time \(t\). The immunological states considered are based on CD4 counts and our data refer to patients selected from a series of 766 HIV-positive intravenous drug users.
Mathematics Subject Classification ID: 92C60
zbMATH DE Number: 5371812
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2007/65636
OpenAlex ID: W1971715345
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description: scientific article; zbMATH DE number 5371812