A stochastic model for the HIV epidemic in homosexual populations involving age and race

Mathematical and Computer Modelling

Volumn 24, Issue 12, 1996, Pages 67-105

  Tan, W Y ^a   Xiang, Z ^a  

^a University of Memphis   (United States)

Author keywords

Age; Chain multinomial distribution; Homosexual population; Infective stages; Low risk selection rule; Mixing probability; Probability of HIV transmission; Race

Indexed keywords

EID: 0030438088     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(96)00179-3     Document Type: Article

References (24)

1. 1. CDC surveillance report, Division of HIV/AIDS, Centers for Disease Control and Prevention, Atlanta, GA, (December 1994).
2. 2. W.Y. Tan and H. Hsu, Some stochastic models of AIDS spread, Statistics in Medicine 8, 121-136, (1989).
3. 3. W.Y. Tan and H. Hsu, A stochastic model for the AIDS epidemic in a homosexual population, In Math. Population Dynamics, (Edited by O. Arino, D.E. Axelrod and M. Kimmel), Chapter 27, pp. 347-369, Marcel Dekker, New York, (1991).
4. 4. W.Y. Tan and R.H. Byers, A stochastic model of the HIV epidemic and the HIV infection distribution in a homosexual population, Math. Biosciences 113, 115-143, (1993).
5. 5. R.R. Redfield and D.S. Burke, HIV infection: The clinical picture, Scientific American 259, 90-99, (1988).
6. 6. CDC, 1993 revised classification system for HIV infection and expanded surveillance case definition for AIDS among adolescents and adults, MMWR 41 (RR17), (1992).
7. 7. W.Y. Tan and S.C. Tang, A stochastic model of HIV epidemic involving both sexual contact and IV drug use, Mathl. Comput. Modelling 17 (9), 31-57, (1993).
8. 8. H.W. Hethcote and J.W. Van Ark, Modeling HIV Transmission and AIDS in the United States, Lecture Notes in Biomath., Springer-Verlag, Berlin, (1992).
9. 9. H.W. Hethcote and J.W. Van Ark, Weak linkage between HIV epidemics in homosexual men and intravenous drug users in New York City, In AIDS Epidemiology, Methodological Issues, (Edited by N.P. Jewell, K. Dietz and V. Farewell), pp. 174-208, Birkhauser, Boston, MA, (1992).
10. 10. R.M. Anderson, G.G. Medley, R.M. May and A.M. Johnson, A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS, IMA Journal of Mathematics Applied in Medicine and Biology 3, 229-263, (1986).
11. 11. W.Y. Tan, On the chain multinomial model of HIV epidemic in homosexual populations and effects of randomness of risk factors, In Mathematical Population Dynamics 3, (Edited by O. Arino, D.E. Axelrod and M. Kimmel), Wuerz Publishing Ltd, Winnipeg, Manitoba, Canada, (1995).
12. 12. C.J. Mode, H.E. Goldwitzer, M.A. Salsburg and C.K. Sleeman, A methodological study of a nonlinear stochastic model of an AIDS epidemic with recruitment, IMA J. Math. Appl. Med. and Biol. 6, 179-203, (1989).
13. 13. W. Y. Tan, The chain multinomial models of the HIV epidemiology in homosexual populations, Mathl. Comput. Modelling 18 (6), 29-72, (1993).
14. 14. J.A. Jacquez, C.P. Simon, J. Koopman, L. Sattenspiel and T. Perry, Modeling and analyzing HIV transmission: The effect of contact patterns, Math. Biosciences 92, 119-199, (1988).
15. 15. J.M. Hyman and E.A. Stanley, A risk-based heterosexual model for the AIDS epidemic with biased sexual partner selection, In Modeling the AIDS Epidemic: Planning, Policy, and Prediction, (Edited by E.H. Kaplan and M.L. Brandeau), Raven Press, New York, (1994).
16. 16. E.A. Stanley, Partner selection in heterosexual population, In Mathematical Population Dynamics 3, (Edited by O. Arino, D.E. Axelrod and M. Kimmel), Wuerz Publishing Ltd, Winnipeg, Manitoba, Canada, (1995).
17. 17. W.Y. Tan, S.C. Tang and S.R. Lee, Effects of randomness of risk factors on the HIV epidemic in homosexual populations, SIAM Jour. Appl. Math. 55, 1697-1723, (1955).
18. 18. J. Ng and E. J. Orav, A generalized chain binomial model with application to HIV infection, Math. Biosciences 101, 99-119, (1990).
19. 19. C.J. Mode, H.E. Gollwitzer and N. Hermann, A methodological study of a stochastic model of an AIDS epidemic, Math. Biosciences 92, 201-229, (1988).
20. 20. V. Isham, Assessing the variability of stochastic epidemics, Math. Biosciences 107, 209-224, (1991).
21. 21. L. Doll et al., Persistence of high risk sexual behavior in homosexual/bisexual men: A multicenter study, In Proceedings of the Fifth International AIDS Conference, June 4-9, 1989, Montreal, Quebec, Canada.
22. 22. W.Y. Tan, S.R. Lee and S.C. Tang, Characterization of HIV infection and seroconversion by a stochastic model of the HIV epidemic, Math. Biosciences 126, 81-123, (1995).
23. 23. R.M. Anderson, S.P. Blythe, S. Gupta and E. Konings, The transmission dynamics of the human immunodeficiency virus type I in the male homosexual community in the United Kingdom: The influence of changes in sexual behavior, Phil. Trans. R. Soc. Lond. B 325, 7-60, (1989).
24. 24. K. Dietz, The dynamics of spread of HIV infection in the heterosexual population, In Statistical Analysis and Mathematical Modelling of AIDS, (Edited by J.C. Jager and E.J. Ruittenberg), pp. 77-105, Oxford Medical Publications, Oxford University Press, Oxford, England, (1988).