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.

1.
Barbara
Bittner
 et.al,
‘Virus Load and Antigenic Diversity Bulletin of Mathematical biology,
Vol
59
:
881
896
(
1997
).
2.
De Boer
,
R. J.
and
Boerlijst
,
M.C
,
Diversity and Virulence threshold in AIDS. Applied Malhemalics,
Vol.
94
544
548
(
1994
).
3.
Karen Z.
Lancaster
and
Julie K.
Pfeiffer
,
“Viral Population Dynamics and Virulence Thresholds”
Curr OpinMicrobiol
,
15
(
4
):
525
530
(
2012
).
4.
Nowak
,
M.A.
and
May
,
R.M.
“Mathematical Biology of HIV Infection: Antigenic Variation and Diversity threshold”,
Mathematical Biosciences
,
106
, pp.
1
21
(
1991
).
5.
Nowak
,
M. A.
,
Stekel
,
D. J.
, and
May
,
R.M.
,
“Antigenic Diversity Thresholds and HazardFunctions”
,
Mathematical Biosciences
, Vol.
139
,
59
68
(
1997
).
6.
Stillnakis
,
N.I.
,
Schenzle
,
D.
and
Dietz
,
K.
,
“On the Antigenic diversity thresholdmodel for AIDS”,
Mathematical Biosciences
,
121
, pp.
235
247
(
1994
).
7.
Shiboski
.
S.C.
and
N.P.
Jewell
.
“Statistical analysis of the time dependence of HIV infectivity based on Partner study data",
J. American Statist. Association
,
87
,
360
372
(
1992
).
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