The Transactions of the Korean Institute of Electrical Engineers D (대한전기학회논문지:시스템및제어부문D)

The Korean Institute of Electrical Engineers (대한전기학회)
권호 표지

Mathematical Modeling for the Transmission Dynamics of HIV infection and AIDS with Heterogeneity in Sexual Activity

성 활동 성분을 고려한 HIV 감염과 AIDS의 전염특성에 관한 수학적 모델화

  • 정형환 (동아대 전기,전자,컴퓨터공학부)
  • Published : 2001.12.01
Download PDF
⟨ Previous Next ⟩

Abstract

In the mathematical model for the transmission dynamics of HIV infection described in previous papers, the population under consideration is assumed to be homogeneous community of homosexual males for which the parameter x represents the constant rate at which individual members of the population acquire new sexual partners. This is a gross oversimplification since it is well known that individuals vary widely in their levels of sexual activity and in this papers the heterogeneous model is modified to allow for this variation. The pattern on the epidemic character of HIV, the causative agent of AIDS, was analysed by heterogeneous-mixing model. The computer simulation was performed using real date.

Keywords

References

  1. Bailey, N. T. J.: The Mathematical Theory of Infectious Diseases. London. Griffin, (1975)
  2. Peterman, T. A.: Epidemiology of the acquired immunodeficiency syndrome(AIDS), Epidemiology Reviews, Vol. 7, pp. 1-21, (1985)
  3. Carne, C. A., Weller, I. V. D., Sutherland, S., Cheinsong-Popov, R., Ferns, R. B., Williams, P., Mindel, A., Tedder, R., & Adler, M. S. : Rising prevalence of human T-lymphotropic virus type III(HTLV-III) infection in homosexual men in London. The Lancet I, 1261-1262. (1985)
  4. McKusick, M. L., Horstman, W., & Coates, T. J.: AIDS and sexual behaviour reported by gay men in San Francisco. Am. J. Public Health. 75, 493-496. (1985)
  5. Anderson R. M., Medley G. F, : 'A preliminary study of the transmission dynamics of the human immunodeficiency virus(HIV), the causative agent of AIDS ', IMA J. Math. Med. & Biol. , Vol. 3, pp. 229-263, (1986) https://doi.org/10.1093/imammb/3.4.229
  6. May, R. M. and Anderson, R. M. : Transmission dynamic of HIV infection. Nature, 326. pp. 137-142, (1987) https://doi.org/10.1038/326137a0
  7. VALERIE ISHAM : Mathematical Modeling of the Transmission Dynamics of HIV
  8. Becker, N. G. : A method of non-parametric back-projection and its application to AIDS data, Statistics in Medicine, Vol. 10. pp. 1527-43, (1991) https://doi.org/10.1002/sim.4780101005
  9. 이광우, 정형환 :HIV 감염과 AIDS의 전파 특성에 관한 기초적 연구, 의공학회지, Vol. 15, No. 3, pp. 295-303, (1994)
  10. Lipsitch-M, Nowak-MA :The evolution of virulence in sexually transmitted HIV/AIDS, J-Theor-Biol., Vol. 174, No. 4, pp. 427-40, (1995) https://doi.org/10.1006/jtbi.1995.0109
  11. 에이즈 연찬회 :AIDS 전망과 홍보정책, 보건복지부 방역과, (1996. 11)
  12. 정형환, 주석민, 이광우, 정문규, 'HIV 감염과 AIDS의 전파특성에 관한 수학적 모델화, 전기학회논문의 제 48권A, 제 1호 PP.89-95. (1999)