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Patient’s age depending HIV/AIDS evolution analysis by means of a non-homogeneous semi-Markov model. (English) Zbl 1180.92077

The authors describe an analysis of HIV/AIDS dynamics, which is defined by CD4 levels and viral load, carried out from a macroscopic point of view by means of non-homogeneous semi-Markov stochastic processes. In this way, the authors are able to take a nonparametric approach in order to study the evolution of HIV infected patients taking into account the different ages of the subjects.

MSC:

92D30 Epidemiology
60K15 Markov renewal processes, semi-Markov processes
62P10 Applications of statistics to biology and medical sciences; meta analysis
62N99 Survival analysis and censored data
60K10 Applications of renewal theory (reliability, demand theory, etc.)