Mathematical Models for HIV Transmission Dynamics: Tools for Social and Behavioral Science Research

HIV researchers have long appreciated the need to understand the social and behavioral determinants of HIV-related risk behavior, but the cumulative impact of individual behaviors on population-level HIV outcomes can be subtle and counterintuitive, and the methods for studying this are rarely part of a traditional social science or epidemiology training program. Mathematical models provide a way to examine the potential effects of the proximate biologic and behavioral determinants of HIV transmission dynamics, alone and in combination. The purpose of this article is to show how mathematical modeling studies have contributed to our understanding of the dynamics and disparities in the global spread of HIV. Our aims are to demonstrate the value that these analytic tools have for social and behavioral sciences in HIV prevention research, to identify gaps in the current literature, and to suggest directions for future research.

[1]  Geoff P Garnett,et al.  Modelling the impact of migration on the HIV epidemic in South Africa , 2007, AIDS.

[2]  Robert J. Smith,et al.  Could disease-modifying HIV vaccines cause population-level perversity? , 2004, The Lancet. Infectious diseases.

[3]  Emmanuel Lagarde,et al.  Randomized, Controlled Intervention Trial of Male Circumcision for Reduction of HIV Infection Risk: The ANRS 1265 Trial , 2005, PLoS medicine.

[4]  C. Mahé,et al.  Progression to symptomatic disease in people infected with HIV-1 in rural Uganda: prospective cohort study. , 2002, BMJ : British Medical Journal.

[5]  R. May,et al.  The spread of HIV-1 in Africa: sexual contact patterns and the predicted demographic impact of AIDS , 1991, Nature.

[6]  K. Holmes,et al.  Sexual mixing patterns in the spread of gonococcal and chlamydial infections. , 1999, American journal of public health.

[7]  P. Kilmarx,et al.  “A Bull Cannot be Contained in a Single Kraal”: Concurrent Sexual Partnerships in Botswana , 2007, AIDS and Behavior.

[8]  R. Anderson,et al.  Potential public health impact of imperfect HIV type 1 vaccines. , 2005, The Journal of infectious diseases.

[9]  G. Garnett,et al.  Who infects whom? HIV-1 concordance and discordance among migrant and non-migrant couples in South Africa , 2003, AIDS.

[10]  S. Goodreau,et al.  Sexual role and transmission of HIV Type 1 among men who have sex with men, in Peru. , 2005, The Journal of infectious diseases.

[11]  T. Quinn,et al.  The Effects of Herpes Simplex Virus-2 on HIV-1 Acquisition and Transmission: A Review of Two Overlapping Epidemics , 2004, Journal of acquired immune deficiency syndromes.

[12]  Neil M Ferguson,et al.  Modelling the Impact of Antiretroviral Use in Resource-Poor Settings , 2006, PLoS medicine.

[13]  J. Parry,et al.  HIV incidence appears constant in men who have sex with men despite widespread use of effective antiretroviral therapy , 2004, AIDS.

[14]  M. Morris,et al.  Sexual networks and HIV. , 1997, AIDS.

[15]  Sally Blower,et al.  Calculating the contribution of herpes simplex virus type 2 epidemics to increasing HIV incidence: treatment implications. , 2004, Clinical infectious diseases : an official publication of the Infectious Diseases Society of America.

[16]  J. Curran,et al.  Epidemiology of gonorrhea. , 1978, Sexually transmitted diseases.

[17]  Martina Morris,et al.  A microsimulation study of the effect of concurrent partnerships on the spread of HIV in Uganda , 2000 .

[18]  R. Rothenberg,et al.  Focused interviewing in gonorrhea control. , 1980, American journal of public health.

[19]  M E Halloran,et al.  Interpretation and estimation of vaccine efficacy under heterogeneity. , 1992, American journal of epidemiology.

[20]  Debarati Guha-Sapir,et al.  Dengue fever: new paradigms for a changing epidemiology , 2005, Emerging themes in epidemiology.

[21]  O. Laeyendecker,et al.  Rates of HIV-1 transmission per coital act, by stage of HIV-1 infection, in Rakai, Uganda. , 2005, The Journal of infectious diseases.

[22]  A. Ghani,et al.  Risks of Acquiring and Transmitting Sexually Transmitted Diseases in Sexual Partner Networks , 2000, Sexually transmitted diseases.

[23]  M. Handcock,et al.  Bridge populations in the spread of HIV/AIDS in Thailand. , 1996, AIDS.

[24]  L. Dean,et al.  Effect of sexual behavior change on long-term human immunodeficiency virus prevalence among homosexual men. , 1994, American journal of epidemiology.

[25]  P. Vernazza,et al.  Quantification of HIV in semen: correlation with antiviral treatment and immune status , 1997, AIDS.

[26]  James O Lloyd-Smith,et al.  The Potential Impact of Male Circumcision on HIV in Sub-Saharan Africa , 2006, PLoS medicine.

[27]  J. Yorke,et al.  Dynamics and Control of the Transmission of Gonorrhea , 1978, Sexually transmitted diseases.

[28]  Ronald H Gray,et al.  Control of sexually transmitted diseases for AIDS prevention in Uganda: a randomised community trial , 1999, The Lancet.

[29]  G. Rutherford,et al.  Changes in sexual behavior and risk of HIV transmission after antiretroviral therapy and prevention interventions in rural Uganda , 2006, AIDS.

[30]  M. Kretzschmar,et al.  Concurrent partnerships and the spread of HIV , 1997, AIDS.

[31]  Richard G. White,et al.  Can Population Differences Explain the Contrasting Results of the Mwanza, Rakai, and Masaka HIV/Sexually Transmitted Disease Intervention Trials?: A Modeling Study , 2004, Journal of acquired immune deficiency syndromes.

[32]  J A Jacquez,et al.  The effects of population structure on the spread of the HIV infection. , 1990, American journal of physical anthropology.

[33]  Oliver Laeyendecker,et al.  Male circumcision for HIV prevention in men in Rakai, Uganda: a randomised trial , 2007, The Lancet.

[34]  Ronald H Gray,et al.  HIV dynamics and behaviour change as determinants of the impact of sexually transmitted disease treatment on HIV transmission in the context of the Rakai trial , 2002, AIDS.

[35]  R. Anderson,et al.  Factors controlling the spread of HIV in heterosexual communities in developing countries: patterns of mixing between different age and sexual activity classes. , 1993, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[36]  Stephen Moses,et al.  Male circumcision for HIV prevention in young men in Kisumu, Kenya: a randomised controlled trial , 2007, The Lancet.

[37]  Epidemiology of gonorrhea. , 1978 .

[38]  Neil M Ferguson,et al.  The epidemiological impact of antiretroviral use predicted by mathematical models: a review , 2005, Emerging themes in epidemiology.

[39]  I. Longini,et al.  Role of the primary infection in epidemics of HIV infection in gay cohorts. , 1995, Journal of acquired immune deficiency syndromes.

[40]  Marie-Claude Boily,et al.  Changes in the Transmission Dynamics of the HIV Epidemic After the Wide-Scale Use of Antiretroviral Therapy Could Explain Increases in Sexually Transmitted Infections: Results From Mathematical Models , 2004, Sexually transmitted diseases.

[41]  M E Halloran,et al.  Measuring vaccine efficacy for both susceptibility to infection and reduction in infectiousness for prophylactic HIV-1 vaccines. , 1996, Journal of acquired immune deficiency syndromes and human retrovirology : official publication of the International Retrovirology Association.

[42]  R M May,et al.  The influence of concurrent partnerships on the dynamics of HIV/AIDS. , 1992, Mathematical biosciences.

[43]  Jeffrey N. Martin,et al.  Decline in HIV infectivity following the introduction of highly active antiretroviral therapy , 2003, AIDS.

[44]  R. Anderson,et al.  For Personal Use. Only Reproduce with Permission from the Lancet Publishing Group , 2022 .

[45]  K Dietz,et al.  Epidemiological models for sexually transmitted diseases , 1988, Journal of mathematical biology.

[46]  William C Miller,et al.  Prevalence of HIV infection among young adults in the United States: results from the Add Health study. , 2006, American journal of public health.

[47]  E Van Imhoff,et al.  Microsimulation methods for population projection. , 1998, Population. English selection.

[48]  Frederick Suppe,et al.  HIV Epidemics Driven by Late Disease Stage Transmission , 2005, Journal of acquired immune deficiency syndromes.

[49]  Irene A. Doherty,et al.  HIV and African Americans in the Southern United States: Sexual Networks and Social Context , 2006, Sexually transmitted diseases.

[50]  M. Morris,et al.  A log-linear modeling framework for selective mixing. , 1991, Mathematical biosciences.