Progression of the HIV infection toward AIDS is the significant one in this study. It is believed that when the antigenic diversity exists in the infected individual crosses a threshold value the AIDS condition begins to occur. The successive sexual contacts and sharing of needles with an infected partner may give rise in their antigenic diversity level. In this paper, Antigenic diversity threshold is assumed to be a random variable. Taking three modes of getting the infection, namely, heterosexual and homosexual contacts and sharing of needles with randomly selected partners, the expected time to get AIDS is derived with its variance. Numerical illustrations are provided using simulation techniques to substantiate the results.
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