Extremely prolonged hiv seroconversion to estimate the expected time through generalized rayleigh distribution

Since the beginning of HIV/AIDS, epidemic mathematicians and statisticians have developed models to describe and predict the course of the infection. Tools were derived from the firmly established theory of epidemic modeling, although some adjustments became necessary, because of specific characteristics of HIV infection. The time to cross antigenic diversity threshold of the infected person is a vital event in seroconversion. The expected time to attain the seroconversion period is calculated by Generalized Rayleigh distribution using shock model approach and cumulative damage process. Numerical examples are given to illustrate various aspects of the model considered for the expected time to seroconversion.