TIME TO SURVIVAL OF HIV ENVIRONMENT OF THE INFECTED PATIENTS
Keywords:
Antigenic Diversity, HIV, Survival, Shock Model, Threshold.Abstract
Survival model for the HIV environment of the infected patients and the model to characterize the HIV infection person with seroconversion time has been studied. Through stimulation generated infection distributions and seroconversion distributions, we assess the effects of various risk factors on these distributions. The model fit of some data suggests that Setting the Clock Back to Zero Property should be assumed as the infection distribution for the proposed stochastic model of HIV epidemics.
Downloads
References
Chiang, C. (1980). An Introduction To Stochastic Process And Their
Application , 2ndEdition, Krieger New York.
Hethcote, W.H. (1989). A model for HIV transmission and AIDS, University
of Lowa, Lowa City, IA 52242, USA.
Anderson, P. (1991). Transmission dynamics of HIV infection, Nature. 326, p.
- 142.
Luboobi, L.S. (1991). Mathematical Models for the Dynamics of the AIDS
Epidemic, M.S. Patel, S. Nokoe (Eds.), Biometry for Development, ICIPE
Science Press, Nairobi (1991), p. 76–83.
Bailey, G. (1996). A sample stochastic epidemic: a complete solution in term
of known Functions, Biometrika, 50, p. 235 – 240.
Iwunor, C. (1999). A multi- Dimensional birth and death process model for
thetransmission dynamics of HIV infection and AIDS, Nigerian Mathematical
Society, 18, p. 93-102.
Sukla, Pradeep, Raja, D., Jegadeesh Ramasamy and Vinoth, R. (2013).
Preventing threshold in human immune virus of infected persons through
statistical model. International Journal of Pharmaceutical Science and Health
Care, 1(3), p. 43-46.
Subramanian, C., Rajivgandhi, R and Vinoth, R. (2012). estimation of the
generalized logistic distribution based on the expected time in shock model.
Global Journal of Mathematical Sciences: Theory and Practical, 4(12), p. 57-
Kannan, R., Thirumurugan, A., Sathiyamoorthi, R. and Malarvizhi, G. (2011).
estimation of expected time to seroconversion of HIV infected using order
statistics. International Journal of Agricultural Statistical Sciences, 7, p. 197-
Pandiyan, P., Agasthiya, R., Palanivel, R.M., Kannadasan, K. and Vinoth, R.
(2010). Expected time to attain the threshold level using multisource of HIV
transmission – Shock model approach, International Journal of Pharm Tech.
Research, 3(2), p.1088-1096.
Anil, V. (2001). A Generalized Poisson distribution and its application.
Journal of the Kerala Statistical Association, 12, p. 11-22.
Pillai, R.N. (1990). On Mittag-Leffler function and related distributions,
Annals of the Institute of statistical Mathematics, 42, p. 157-161.