Vol. 2, Issue 8, Part A (2016)

Abstract
The study of HIV infection, transmission and spread of AIDS is quite common by the use of stochastic model. The estimation of statistical measure for time to seroconversion of HIV infected over the time interval (0,t] is an important aspect which help medical intervention. We propose a stochastic model under the assumption that, the interval time between the contacts forms an order statistics and threshold follows exponential- geometric distribution. In developing such a stochastic model, the concept of shock model and cumulative damage process are used. Numerical illustration provided for different combination of parameter involved in the distribution of the random variable used in this model.