A Stochastic Model with Antigenic Diversity Threshold Time Using Erlang Truncated Exponential Distribution using Order Statistics

R. Kannan¹ , G. Parthasarathi²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.26-33, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.2633

Online published on Apr 30, 2019

Copyright © R. Kannan, G. Parthasarathi . 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.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

430 Views    428 Downloads    165 Downloads

Abstract :
This study is based on a stochastic model for predicting the seroconversion time of HIV infected using the inter-contact time between successive contacts forms an order statistics. The contribution to antigenic diversity due to sexual contacts on successive occasions is important factor in this paper it is assumed that the threshold following Erlang truncated exponential distribution and inter-arrival times which forms a smallest order statistics. The expected time to seroconversion and variance are derived and numerical illustration is also given using simulated data.

Key-Words / Index Term :
Acquired Immune Deficiency Syndrome, Human Immunodeficiency Virus, Seroconversion, Antigenic diversity threshold, Smallest Order statistics

References :
[1] Esary JD, Marshall AW, Proschan F. Shock models and Wear processes, Ann. Probability, 1973; 1(4):627-649.
[2] Kannan R, Chandrasekar K. A stochastic model for the estimation of expected time to seroconversion of HIV infected using order statistics’. International Journal of World Research. 2015; 1(23):1-8.
[3] Kannan R, Ganesan A, Sathiyamoorthi R, G. A Stochastic Model for the Estimation of Time to Seroconversion of HIV Infected using Order Statistics, Bio-Science Research Bulletin. 2008; 24(1):44-47.
[4] Kannan R, Thirumurugan A, Sathiyamoorthi R, Malarvizhi G. A stochastic model with the antigenic diversity threshold of HIV transmission using order statistics’. Bio-Science Research Bulletin. 2010; 26(1):45-55.
[5] Kannan R, Iyappan M (2017), A stochastic model with antigenic diversity threshold of HIV transmission using smallest order statistics, International Journal of recent scientific research. Vol (8) Page 19083-19087.
[4] Kannan R, Kavitha S, Sathiyamoorthi R. A stochastic approach to determine the expected time to seroconversion of HIV infected using order statistics, Journal of the Indian Academy of Mathematics. 2013; 35:131-141.
[6] Nowak MA, May RM. Mathematical Biology of HIV Infections: Antigenic Variation and Diversity Threshold’, Mathematical Biosciences. 1991; 106:1-21.
[7] Ratchagar NP, Vijaya S, Sathiyamoorthi R, Kannan R. A stochastic model for estimation of expected time to seroconversion of HIV infected using order statistics, Proceedings of the National Conference on Mathematical and Computational Models, PSG College of Technology, Coimbatore, 2003, 37-42.
[8] Stilianakis N, Schenzle D, Dietz K. On the Antigenic Diversity Threshold Model for AIDS, Mathematical Biosciences. 1994; 121:235-247.