Effects of education, vaccination and treatment on HIV transmission in homosexuals with genetic heterogeneity

Mathematical Biosciences

Volumn 187, Issue 2, 2004, Pages 111-133

  Del Valle, Sara ^a   Evangelista, Arlene Morales ^b   Velasco, Maria Cristina ^c   Kribs Zaleta, Christopher M ^d   Schmitz, Shu Fang Hsu ^e  

^a UNIVERSITY OF IOWA   (United States)

^b ARIZONA STATE UNIVERSITY   (United States)

^c UNIVERSIDAD DEL VALLE   (Colombia)

^d UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

^e UNIVERSITY OF BERN   (Switzerland)

Author keywords

Genetic resistance; HIV AIDS; Public education; Reproductive number; Treatment programs; Vaccination

Indexed keywords

EDUCATION; EPIDEMIOLOGY; GENES; MUTAGENESIS; VACCINES;

GENETIC RESISTANCE; MUTANTS;

VIRUSES;

CHEMOKINE RECEPTOR CCR5; HUMAN IMMUNODEFICIENCY VIRUS VACCINE;

HOMOSEXUALITY; HUMAN IMMUNODEFICIENCY VIRUS;

ALLELE; ARTICLE; BIOLOGICAL MODEL; CALCULATION; COMPARTMENT MODEL; DISEASE PREDISPOSITION; DISEASE TRANSMISSION; GENETIC HETEROGENEITY; GENETIC RESISTANCE; GENETIC VARIABILITY; GENETICS; HEALTH EDUCATION; HOMOSEXUALITY; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; IMMUNOLOGY; INFECTION SENSITIVITY; MALE; MUTANT; POPULATION DYNAMICS; SURVIVAL; TREATMENT OUTCOME; TREATMENT PLANNING; VACCINATION; VIRUS REPLICATION; VIRUS TRANSMISSION;

EID: 0347301673     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2003.11.004     Document Type: Article

References (29)

1. Begley S. AIDS at 20. Newsweek. (June 11):2001;34.
2. Freeman S., Herron J.C. Evolutionary Analysis. 1998;Prentice Hall, Upper Saddle River, NJ.
3. Sheppard H.W., Lang W., Ascher M.S. The characterization of non-progressors: long-term HIV-1 infection with stable CD4+ T-cell levels. AIDS. 7:1993;1159.
4. Phair J.P. Keynote address: variations in the natural history of HIV infection. AIDS Res. Hum. Retrov. 10:1994;883.
5. Detels R., Liu Z., Hennessey K.et al. Resistance to HIV-1 infection: multicenter AIDS cohort study. J. Acq. Immun. Def. Synd. Hum. Retrovirol. 7:1994;1263.
6. Paxton W.A., Martin S.R., Tse D.et al. Relative resistance to HIV-1 infection of CD4 lymphocytes from persons who remain uninfected despite multiple high-risk sexual exposure. Nat. Med. 2:1996;412.
7. Fowke K.R., Nagelkerke N.J.D., Kimani J.et al. Resistance to HIV-1 infection among persistently seronegative prostitutes in Nairobi, Kenya. Lancet. 348:1996;1347.
8. Dean M., Carrington M., Winkler C.et al. Genetic restriction of HIV-1 infection and progression to AIDS by a deletion allele of the CKR5 structural gene. Science. 273:1996;1856.
9. Samson M., Libert F., Doranz B.J.et al. Resistance to HIV-1 infection in Caucasian individuals bearing mutant alleles of the CCR-5 chemokine receptor gene. Nature. 382:1996;722.
10. Quillent C., Oberlin E., Braun J.et al. HIV-1-resistance phenotype conferred by combination of two separate inherited mutations of CCR5 gene. Lancet. 351:1998;14.
11. Hsu Schmitz S.-F. A mathematical model of HIV transmission in homosexuals with genetic heterogeneity. J. Theor. Med. 2:2000;285.
12. Hsu Schmitz S.-F. Effects of treatment and/or vaccination on HIV transmission in homosexuals with genetic heterogeneity. Math. Biosci. 167:2000;1.
13. Blower S.M., Gershengorn H.B., Grant R.M. A tale of two futures: HIV and antiretroviral therapy in San Francisco. Science. 287:2000;650.
14. Blower S.M., Aschenbach A.N., Gershengorn H.B., Kahn J.O. Predicting the unpredictable: transmission of drug-resistant HIV. Nat. Med. 7:2001;1016.
15. McLean A.R., Blower S.M. Imperfect vaccines and herd immunity to HIV. Proc R. Soc. Lond. B. 253:1993;9.
16. Blower S.M., McLean A.R. Prophylactic vaccines, risk behavior change, and the probability of eradicating HIV in San Francisco. Science. 265:1994;1451.
17. McLean A.R., Blower S.M. Modelling HIV vaccination. Trends Microbiol. 3:1995;458.
18. Anderson R.M., May R.M. Epidemiological parameters of HIV transmission. Nature. 333:1988;514.
19. Anderson R.M., Gupta S., May R.M. Potential of community-wide chemotherapy of immunotherapy to control the spread of HIV-1. Nature. 350:1991;356.
20. Castillo-Chávez C., Cooke K., Huang W., Levin S.A. The role of long incubation periods in the dynamics of HIV/AIDS. Part 1: Single populations models. J. Math. Biol. 27:1989;373.
21. Castillo-Chávez C., Cooke K.L., Huang W., Levin S.A. Results on the dynamics for models for the sexual transmission of the human immunodeficiency virus. J. Appl. Math. Lett. 2(4):1989;327.
22. Busenberg S., Castillo-Chávez C. 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. Med. Biol. 8:1991;1.
23. 0 in models for infectious diseases in heterogeneous populations J. Math. Biol. 28:1990;365.
24. 0 and role on global stability Castillo-Chávez C., Blower S., van den Driessche P., Kirschner D., Yakubu A.-A. Mathematical Approaches for Emerging and Reemerging Infectious Diseases, Part I: Introduction. IMA. vol. 125:2002;229 Springer, New York.
25. Diekmann O., Dietz K., Heesterbeek J.A.P. The basic reproduction ratio for sexually transmitted diseases, Part 1: Theoretical considerations. Math. Biosci. 107:1991;325.
26. Dietz K., Heesterbeek J.A.P., Tudor D.W. The basic reproduction ratio for sexually transmitted diseases, Part 2: Effects of variable HIV-infectivity. Math. Biosci. 117:1993;35.
27. Kegeles S.M., Hays R.B., Pollack L.M., Coates T.J. Mobilizing young gay and bisexual men for HIV prevention: a two-community study. AIDS. 13:1999;1753.
28. Hadeler K.P., Castillo-Chávez C. A core group model for disease transmission. Math. Biosci. 128:1995;41.
29. Kribs-Zaleta C.M., Velasco-Hernández J.X. A simple vaccination model with multiple endemic states. Math. Biosci. 164(2):2000;183.