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Estimation of expected time for the development of aids under two modes of infection

R. Jaisankar1 , A. Saberunnisa2

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.118-121, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.118121


Online published on Aug 31, 2018


Copyright © R. Jaisankar, A. Saberunnisa . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: R. Jaisankar, A. Saberunnisa, “Estimation of expected time for the development of aids under two modes of infection,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.118-121, 2018.

MLA Style Citation: R. Jaisankar, A. Saberunnisa "Estimation of expected time for the development of aids under two modes of infection." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 118-121.

APA Style Citation: R. Jaisankar, A. Saberunnisa, (2018). Estimation of expected time for the development of aids under two modes of infection. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 118-121.

BibTex Style Citation:
@article{Jaisankar_2018,
author = {R. Jaisankar, A. Saberunnisa},
title = {Estimation of expected time for the development of aids under two modes of infection},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {118-121},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=718},
doi = {https://doi.org/10.26438/ijcse/v5i4.118121}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.118121}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=718
TI - Estimation of expected time for the development of aids under two modes of infection
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - R. Jaisankar, A. Saberunnisa
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 118-121
IS - 4
VL - 5
SN - 2347-2693
ER -

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Abstract :
Progression of the HIV infection toward AIDS is the significant one in the study HIV infected. 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 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 two modes of getting the infection, namely, heterosexual and homosexual contacts 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.

Key-Words / Index Term :
Acquired Immuno Deficiency Syndrome, Human Immunodeficiency virus, Antigenic Diversity Threshold

References :
REFERENCE
[1]Barbara Bittner et. al.“Virus Load and Antigenic Diversity”.,Bulletin of Mathematical biology, Vol 59:881-896,1997.
[2]P.ChristopherLocher, VolkerHeinrichs, Doris Apt, G .Robert Whalen , “Overcoming antigenic diversity and improving vaccines using DNA shuffling and screening technologies”, Expert Opinion on Biological Therapy, 4:589-597,2004.
[3]R. J.De Boer, and M.C.Boerlijst,“Diversity and Virulence threshold in AIDS”. Applied Mathematics. Vol.94. 544-548,1994.
[4]M.A .Nowak. and R.M .May, “Mathematical Biology of HIV Infection: Antigenic Variation and Diversity threshold”, Mathematical Biosciences, 106, pp. 1-21, 1991.
[5]M. A .Nowak, D. J.Stekeland, andR.M May,“Antigenic Diversity Thresholds and Hazard Functions”. Mathematical Bioscience, Vol.139, 59-68, 1997.
[6]N.I.Stillnakis, D.Schenzle and K.Dietz, “On the Antigenic diversity threshold model for AIDS”, Mathematical Biosciences, 121, pp.235-247, 1994.

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