Vol. 3, Issue 6, Part P (2017)

Abstract

This paper focuses on the study of a stochastic model for predicting the seroconversion time of HIV transmission using intercontact time between successive contact are poisson random variable. The estimation of excepted time to seroconversion of HIV infected over the time interval (0, t] is an important aspect which helps medical intervention. The purpose of this study to bring out the impact of the intercontact time and also the magnitude of contribution to antigenic diversity in successive contact upon the time to seroconversion. To propose a stochastic model to study the damage process acting on the immune system is non-linear. The mean time to seroconversion and its variance are derived and numerical illustrations are provided.