Using mathematical models to understand the AIDS epidemic
References (59)
- et al.
Cluster of cases of the acquired immune deficiency syndrome. Patients linked by sexual contact
Amer. J. Med.
(1984) - et al.
Infection of chimpanzees with lymphadenopathy-associated virus
Lancet
(1 Dec. 1984) - et al.
Determinants of retrovirus (HTLV-III) antibody and immunodeficiency conditions in homosexual men
Lancet
(29 Sept. 1984) - et al.
Homosexual promiscuity and the fear of AIDS
Lancet
(17 Sept. 1983) Fear of AIDS and gonorrhea rates in homosexual men
Lancet
(16 July 1983)- et al.
Risk factors for seroconversion to human immunodeficiency virus among male homosexuals
Lancet
(21 Feb. 1987) - J. Aron, Mathematical modeling of immunity to malaria, Proceedings of the 1987 CNLS Workshop on Nonlinearity in...
AIDS in the Mind of America
(1986)- et al.
A preliminary study of the transmission dynamics of the human immunodeficiency virus (HIV), the causative agent of AIDS
IMA J. Math. Appl. Med. Biol.
(1986) - et al.
Vaccination and herd immunity to infectious diseases
Nature
(1985)
Directly transmitted infectious diseases: Control by vaccination
Science
Sharing of needles among users of intravenous drugs
Lancet
Spoutanverlauf der LAV/HTLV-III-Infektion
Deutsche Med. Wochenschrift
Human immunodeficiency virus (HIV) infections among civilian applicants for United States military service
October 1985-March 1986: Demographic Factors Associated with Seropositivity
Center for Disease Control, Results of Human T-lymphtropic virus type III test kits reported from blood collection centers—United States, April 22– May 19, 1985
Morbidity and Mortality Weekly Report
A Risk Based Model Explaining the Cubic Growth in AIDS Cases
Los Alamos Nat. Lab. report
Risk factors for human immunodeficiency virus infections in homosexual men
Amer. J. Public Health
The Dynamics of Spread of HIV Infection in the Heterosexual Population
Mathematical models for infectious disease statistics
AIDS, just the facts from specialists at Johns Hopkins
John Hopkins Mag.
Evaluation of heterosexual partners, children, and household contacts of adults with AIDS
J. Amer. Med. Assoc.
Intravenous drug users and the acquired immune deficiency syndrome
Public Health Rep.
AIDS incidence in pregnant women, their babies, homosexual men and hemophiliacs
III International Conference on AIDS
Heterosexual transmission of HIV: Association with severe T4-cell depletion in male hemophiliacs
III International Conference on AIDS
The infectivity of the human immunodeficiency virus: Estimates from a prospective study of a cohort of homosexual men
J. Inf. Dis.
Genomic diversity of the acquired immune deficiency syndrome virus HTLV-III: Different viruses exhibit greatest divergence in their envelope genes
Proc. Nat. Acad. Sci. U.S.A.
Review of death certificates to assess completeness of AIDS case reporting
Public Health Rep.
The natural history of human immunodeficiency virus infection in a cohort of homosexual and bisexual men: A 7-year prospective study
III International Conference on AIDS
Cited by (188)
Numerical and quantitative analysis of HIV/AIDS model with modified Atangana-Baleanu in Caputo sense derivative
2023, Alexandria Engineering JournalCitation Excerpt :To establish public health strategies, mathematical models may be a useful tool [1,2]. Although it is unlikely that a mathematical model will be able to provide long-term predictions about the number of AIDS cases that are correct, one such model, based on interactions that contribute to disease transmission, could eventually allow researchers to answer many relevant questions [3]. The dynamics of HIV/AIDS transmission as a result have given rise to several mathematical models in recent years see, for example [4,5] and references mentioned therein.
Dynamical behavior of stochastic multigroup S-DI-A epidemic models for the transmission of HIV
2018, Journal of the Franklin InstituteA SICA compartmental model in epidemiology with application to HIV/AIDS in Cape Verde
2017, Ecological ComplexityCitation Excerpt :From the first diagnosis of AIDS in 1986, Cape Verde got significant progress in the fight, prevention and treatment of HIV/AIDS (República de Cabo Verde, 2015). Mathematical models, based on the underlying transmission mechanism of the HIV, can help the medical and scientific community to understand and anticipate its spread in different populations and evaluate the potential effectiveness of different approaches for bringing the epidemic under control (Hyman and Stanley, 1988). Several mathematical models have been proposed for HIV/AIDS transmission dynamics (see, e.g., Anderson, 1988; Anderson et al., 1989; Bhunu et al., 2009a, 2011; Cai et al., 2009; Granich et al., 2009; Greenhalgh et al., 2001; Hyman and Stanley, 1988; Joshi et al., 2008; May and Anderson, 1987; Musgrave and Watmough, 2009 and references cited therein).
A risk-based model for predicting the impact of using condoms on the spread of sexually transmitted infections
2017, Infectious Disease ModellingCitation Excerpt :We use the selective mixing model developed by Busenberg & Castillo-Chavez, (1991) to capture the heterogenous mixing among people with different number of partners. Our model is closely related to the STI models for the spread of the HIV/AIDS in heterosexual networks (Hyman & Stanley, 1988, 1989) that distribute the population based on their risk, such as the number of partners (Hyman, Li, & Stanley, 2001, 2003; Hyman & Stanley, 1988, 1989). Chlamydia and gonorrhea are transmitted when infected semen or vaginal fluids contact mucosal surfaces.
A Novel Nonlinear Dynamic Model Describing the Spread of Virus
2023, Mathematics