A stochastic model with antigenic diversity threshold of hiv transmission using geometric process

This study is based on a stochastic model for predicting the seroconversion time of HIV transmission using intercontact time between successive contacts to be a geometric process. In this study of HIV infection the extend of contribution to antigenic diversity is influence by several factors, such as different sources of infections, the frequent contact. In this paper a stochastic model to determine the expected time to seroconversion and its variances are derived under the assumption that the inter-arrival time between contact are distributed as a geometric process using Generalized Rayleigh distribution has a threshold. Numerical illustration is provided using simulated data.