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Accepted 10/Aug/2018, Online 30/Aug/2018 AbstractThis study is based on stochastic model for estimating the seroconversion time of HIV transmission under correlated intercontact times. In the estimation of expected time to seroconversion, there is an important role for the inter-arrival times between successive contacts and has a significant influence. In this paper, it is assumed that the inter contact times between successive contacts are correlated random variables and the threshold distribution as Erlang truncated exponential distribution. In developing this model the result of Gurland (1995) has been used. The mean time to seroconversion and its variance are derived and the numerical illustrations are provided.

international journal of scientific research in mathematical and statistical sciences

A Stochastic Model for Estimating the Statistical Measures for Time to Cross the Antigenic Diversity Threshold of HIV Infected Under Correlated Inter-Contact Times using Erlang Truncated Exponential D