A two-sex model for treatment of HIV/AIDS and behaviour change in a population of varying size

IMA Journal of Mathemathics Applied in Medicine and Biology

Volumn 13, Issue 3, 1996, Pages 151-173

  Hsieh, Ying Hen ^a  

^a NATIONAL CHUNG HSING UNIVERSITY   (Taiwan)

Author keywords

Basic reproduction number; Heterosexual transmission; HIV AIDS; Infectious fractions; Persistence of population; Proportional recruitment; Treatment behaviour change

Indexed keywords

ACQUIRED IMMUNE DEFICIENCY SYNDROME; ARTICLE; COMPARATIVE STUDY; DEVELOPING COUNTRY; DISEASE TRANSMISSION; FEMALE; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; MALE; SEXUAL BEHAVIOR; SEXUAL DEVELOPMENT; THEORETICAL MODEL;

ACQUIRED IMMUNODEFICIENCY SYNDROME; DEVELOPING COUNTRIES; FEMALE; HIV INFECTIONS; HUMANS; MALE; MODELS, THEORETICAL; SEX CHARACTERISTICS; SEXUAL BEHAVIOR;

DISEASE CONTROL; DISEASES;

ANALYTICAL RESULTS; BASIC REPRODUCTION NUMBER; BEHAVIOUR CHANGES; HETEROSEXUAL TRANSMISSION; HIV/AIDS; INFECTIOUS FRACTION; PERSISTENCE OF POPULATION; PROPORTIONAL RECRUITMENT; SIMPLE++; TREATMENT/BEHAVIOR CHANGE;

DIAGNOSIS;

EID: 0030236368     PISSN: 02650746     EISSN: None     Source Type: Journal    
DOI: 10.1093/imammb/13.3.151     Document Type: Article

References (32)

1. ANDERSON, R. M., & MAY, R. M., 1991. Infectious Diseases of Humans: Dynamics and Control. Oxford University Press.
2. ANDERSON, R. M., MAY, R. M., & MCLEAN, A. R., 1988. Possible demographic consequences of AIDS in developing countries. Nature 332, 228-34.
3. ANDERSON, R. M., GUPTA, S., & MAY, R. M., 1991a. Potential of community wide chemotherapy or immunotherapy to control the spread of HIV-1, Nature 350, 356-9.
4. ANDERSON, R. M., BOILY, M. C., GARNETT, G. P., & ROWLEY, J. T., 1991b. The spread of HIV-1 in Africa: Sexual contact patterns and the predicted demographic impact of AIDS. Nature 352, 581-9.
5. BLOWER, S. M., & MCLEAN, A. R., 1994. Prophylactic vaccines, risk behavior change, and the probability of eradicating HIV in San Francisco. Science 265, 1451-4.
6. BROWN, T., & SITTITRAI, W., 1993. Estimates of Recent HIV Infection Levels in Thailand, Research Report No. 9, Bangkok: Program on AIDS, Thai Red Cross Society.
7. BROWN, T., & XENOS, P., 1994. AIDS in Asia: The gathering storm. Asia-Pacific Issue No. 16, Honolulu: East-West Center.
8. BUSENBERG, S., & CASTILLO-CHAVEZ, C., 1989. Interaction, pair formation and force of infection terms in sexually transmitted diseases. In: Mathematical and Statistical Approaches to AIDS Epidemiology (C. Castillo-Chavez, ed.), Lecture Notes in Biomathematics 83. New York: Springer, pp. 289-300.
9. BUSENBERG, S., & CASTILLO-CHAVEZ, C., 1991. A general solution of the problem of mixing of subpopulations and its application to risk- and age-structured epidemic models for the spread of AIDS. IMA J. Math. Appl. Biol. 8, 1-29.
10. BUSENBERG, S., COOKE, K., & HSIEH, Y.-H., 1995. A model for HIV in Asia. Math. Biosci 128 (12), 185-210.
11. CASTILLO-CHAVEZ, C., & BUSENBERG, S., 1991. On the solution of the two-sex problem. In: Proc. Int. Conf. Differential Equations and Applications to Biology and Population Dynamics (S. Busenberg & M. Martelli, eds.), Lecture Notes in Biomathematics 92. Berlin: Springer, pp. 80-98.
12. CENTER FOR DISEASE CONTROL, 1981. Pneumocystis pneumonia-Los Angeles. MMWR 30, 250-2.
13. CHIN, J., 1991. Present and future dimensions of the HIV/AIDS Pandemic. In: Program and Abstracts; VU International Conference on AIDS, Florence.
14. HALLORAN, M. E., LONGINI, I. M., HABER, M. J., STRUCHINER, C. J., & BRUNET, R. C., 1994. Exposure efficacy and change in contact rates in evaluating prophylactic vaccines in the field. Stat. Med. 13, 357-77.
15. HSIEH, Y.-H., 1991. Modelling the effect of screening in HIV transmission dynamics. In: Differential Equations Models in Biology Epidemiology (S. Busenberg & M. Martelli, eds.) Lecture Notes in Biomathematics 92. Berlin: Springer-Verlag, pp. 99-120.
16. HSIEH, Y.-H., & VELASCO-HERNANDEZ, J. X., 1995. Community treatment of HIV-1: Initial stage and asymptotic analyses. BioSystems 35, 75-81.
17. JACQUEZ, J. A., KOOPMAN, J. S., SIMON, C. P., & LONGINI, I. M., 1994. Role of the primary infection in epidemics of HIV infection in gay cohorts. J. AIDS 7, 1169-84.
18. LEPONT, F., & BLOWER, S. M., 1991. The supply and demand for sexual behavior: Implications for heterosexual HIV epidemics. J. AIDS 4, 987-99.
19. LIN, X., HETHCOTE, H., & VAN DEN DRISSCHE, P., 1993. An epidemiological model for HIV/AIDS with proportionate recruitment. Math. Biosci. 118, 181-95.
20. MASTRO, T. D., & LIMPAKARNJANARAT, K., 1995. Condom use in Thailand: How much is it slowing the HIV/AIDS epidemic? AIDS 9, 523-5.
21. MAY, R. M., & ANDERSON, R. M., 1987. The transmission dynamics of HIV infection. Nature 326, 137-42.
22. MAY, R. M., ANDERSON, R. M., & MCLEAN, A. R., 1988a. Possible demographic consequences of HIV/AIDS epidemics: Assuming HIV infection always leads to AIDS. Math. Biosci. 90, 475-505.
23. MAY, R. M., ANDERSON, R. M., & MCLEAN, A. R., 1988b. Possible demographic consequences of HIV/AIDS epidemics: Assuming HIV infection does not necessarily lead to AIDS. In: Mathematical Approaches to Problems in Resource Management and Epidemiology (C. Castillo-Chavez, S. A. Levin, & C. A. Shoemaker, eds.), Lecture Notes in Biomathematics 81. New York: Springer, pp. 220-48.
24. O'BRIEN, T. R., ANDERSON, D. J., & SEAGE III, G. R., 1991. Inverse association - between zidovudine (AZT) therapy and the prevalence of HIV in semen. In: Proc. VIIth Int. Conf. on AIDS, Florence.
25. ṔADIAN, N. S., SHIBOSKI, S. C., & JEWELL, N. P., 1991. Female-to-male transmission of human immunodeficiency virus, J. Am. Med. Assoc. 266, 1664-7.
26. PEREZ-STABLE, E. J., 1991. Cuba's response to the HIV epidemic. Am. J. Publ. Health 81, 563-7.
27. SANTANA, S., FAUS, L., & WALD, K., 1991. Human immunodeficiency virus in Cuba: The public health response of a third world country. Int. J. Health Sci. 21, 511-37.
28. SCALIA-TOMBA, G., 1991. The effect of structural behavior change on the spread of HIV in a one-sex population. Math. Biosci. 107, 547-55.
29. SITTITRAI, W., & BROWN, T., 1992. The Asian AIDS epidemic. Congressional Forum on the HIV/AIDS Pandemic, Washington, DC, 23-25 June, 1992.
30. SWANSON, C. E., TINDALL, B., & COOPER, D. A., 1994. Efficacy of zidovudine treatment in homosexual men with AIDS-related complex: Factors influencing development of AIDS, survival, and drug tolerance. AIDS 8, 625-34.
31. THIEME, H., 1992. Convergence results and Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. J. Math. Biol. 30, 755-63.
32. VELASCO-HERNANDEZ, J. X., & HSIEH, Y.-H., 1994. Modelling the effect of treatment and behavioral change in HIV transmission dynamics. J. Math. Biol. 32, 233-49.