A Stochastic Model for the HIV/AIDS Dynamic Evolution

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 stat...

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Published inMathematical Problems in Engineering Vol. 2007; pp. 660 - 673
Main Authors Di Biase, Giuseppe, D'Amico, Guglielmo, Di Girolamo, Arturo, Janssen, Jacques, Iacobelli, Stefano, Tinari, Nicola, Manca, Raimondo
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 01.01.2007
Subjects
Human immunodeficiency virus
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ISSN1024-123X
1563-5147
DOI10.1155/2007/65636

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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.
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ISSN:1024-123X
1563-5147
DOI:10.1155/2007/65636