HIV disease overview¶
IDM is committed to utilizing modeling approaches and quantitative analysis to explore how interventions can act to reduce the burden and transmission of HIV. This page provides information about HIV itself: the biology, symptoms, treatment, and prevention. See HIV model overview for information about the Epidemiological MODeling software (EMOD) HIV simulation type developed by IDM to aid in HIV control.
The human immunodeficiency virus (HIV) attacks the immune system by targeting CD4 positive T cells, which are white blood cells that serve a crucial role in regulating immune response and fighting off infection. When left untreated, HIV drastically reduces the number of CD4 cells, severely weakening the immune system and enabling opportunistic infections and cancers. Once the level of CD4 cells drops below a threshold, HIV develops into AIDS (acquired immunodeficiency syndrome), the most severe phase of an HIV infection. There is no cure for HIV, but it is possible to treat and control the virus. Untreated individuals with HIV/AIDS have an average survival of 9-11 years post- infection, however with proper treatment, infected individuals can live a normal lifespan.
HIV is a retrovirus. Retroviruses are RNA viruses that are obligate parasites, requiring the host-cell’s machinery to produce new viral particles. Once inside the host cell, the virus uses its own reverse transcriptase enzyme to produce DNA from its RNA genome. The virus integrates viral DNA into the chromosomal DNA of the host cell, becoming a permanent part of the host genome. The cellular machinery of host cells is sequestered by the virus to replicate new viral particles.
HIV is a particular type of retrovirus called a lentivirus. Characterized by long incubation periods, these viruses cause chronic and deadly diseases in mammals; in primates, they target CD4 proteins of the immune system. Host cells are destroyed in the process of viral replication, causing a significant reduction in immune system cells as viral load increases. As these vital immune system cells are destroyed, cell-mediated immunity is lost and the individual becomes increasingly susceptible to opportunistic infections.
For more details on how viral replication works, see HIV replication cycle.
The replication process to create new HIV virions occurs in three phases. First, the virus needs to enter the host cell. Second, replication of viral genetic information occurs within the host cell. And third, and finally, new virions are assembled and released from the host cell.
Ultimately, host cells are destroyed by HIV infection, but this destruction is not the result of the release of mature virions. Instead, infected cells appear to sacrifice themselves through a highly inflammatory form of apoptosis called pyroptosis [Ref1], [Ref2]. Unfortunately, pyroptosis tends to lure more CD4 cells to an area, which propagates the infection-destruction cycle, and increases the damage done to the immune system.
The following diagram illustrates the cycle of HIV viral replication.
Let’s explore the cycle in more detail:
In order to enter a host cell, the HIV virion uses the glycoproteins on its surface to attach to the target cell. Gp120, the distal portion “spike” complex, binds to CD4 receptors (especially on T-cells). After binding, a cascade of conformational changes occurs in gp120 and gp41, and the virion fuses with the host cell’s membrane. Once fusion is complete, the capsid (which contains the RNA, reverse transcriptase, proteases, ribonuclease, and integrase) is injected into the host cell. This process is represented in steps one and two in the above figure.
Once the viral capsid enters the host cell, the viral reverse transcriptase acts to copy the viral RNA into cDNA. The ribonuclease then acts to degrade the viral RNA, and the polymerase creates a complement to the single stranded cDNA; the newly-formed double-stranded viral DNA is then transported into the host cell’s nucleus, where integrase integrates it into the host cell’s genome. This process is represented in steps three, four, and five in the above figure.
It is worth noting that the process of reverse transcriptase is extremely error-prone. The mutations arising out of these copying errors are thought to contribute to the development of drug resistance and to also enable the virus to escape detection by the immune system.
Once the viral DNA has integrated into the cell’s genome, the cell uses it’s own machinery to transcribe viral DNA into viral RNA. This viral RNA is either used to build new HIV proteins, or serves as the genome of new virions.
Once the new copies of viral proteins and genomic RNA have been created, they move to the surface of the host cell. Viral structural proteins (created from the Gag gene) associate with the inner surface of the host cell, causing a new virion to start forming and bud from the cell. Within the bud, or the immature virion, are more structural proteins necessary for capsid formation and the viral genome. As the bud progresses, viral proteases cleave the structural components so they can be assembled to form a the capsid and other capsid enzymes. The process is completed when the bud is cleaved from the host cell (mediated by viral proteases), and results in the release of mature virions. This process is represented in steps six and seven in the above figure.
A hallmark of HIV is the high level of genetic variability the virus exhibits, which can make treatment very difficult. There are two main types of genetically distinct HIV: HIV-1 and HIV-2, and each type can further be broken down into groups and subgroups. HIV-1, the first to be discovered, is the more common and more virulent strain of HIV. HIV-2 is less transmissible, and is primarily found in western Africa (although cases are becoming more common in India, and incidence–while still low–is on the rise in some parts of Europe and the Americas [Ref3]). Both types follow the same transmission route and have the same pathology–both may develop into AIDS. Co-infection, or infection with both HIV-1 and HIV-2, is possible.
HIV-1 is the more prevalent form of HIV, and most information about HIV/AIDS is in reference to HIV-1. This type is the more virulent, or pathogenic, type: it is highly transmissible and individuals develop AIDS when it is not treated.
HIV-1 can be broken down into a major group, Group M, and up to three minor groups, Group N, O, and P. It is thought that each of these groups corresponds to an independent transmission event of SIV (simian immunodeficiency virus) into humans [Ref4].
The major group, M, comprises over 90% of HIV/AIDS cases. It can further be divided into 11 subtypes, A through K. Recombination between subtypes can also occur, further increasing genetic diversity of HIV.
Many of the subtypes have been identified due to differences in the envelope (env) region–the genes that code for gp120 and gp41.
HIV-2 is less transmissible than HIV-1, and individuals infected with HIV-2 are less likely to develop AIDS. Disease progression is slower, and in some cases infected individuals may remain lifelong non-progressors. Clinically, those with HIV-2 tend to have higher CD4 counts and lower viral loads than those with HIV-1.
HIV-2 has 8 known subgroups: A through H. Currently, only A and B are pandemic, however HIV-2 is predominantly found in western Africa.
HIV is difficult to treat, largely due to how genetically diverse it is, and how rapidly it can increase diversity. This arises due to multiple reasons:
HIV has a high replication speed. The virion burst size, or number of virions produced per infected cell, ranges from 1,000 - 3,000 [Ref5], or approximately 10^10 virions per day. For reference, the burst speed for influenza (when reared in chicken egg cells) is about 500 - 1,000. This means that a huge number of virions are present within an individual, and the numbers increase drastically over short amounts of time. Each virion produced is a potentially new variant.
HIV has a high mutation rate. HIV can mutate at a rate of 3 x 10^-5 per nucleotide base per cycle of replication. For reference, DNA viruses have a mutation rate of 10^-6 to 10^-8 per base per generation. The human genome (as a whole) mutates at approximately [Ref6] 1.1x10^-8 per base per generation. With a high mutation rate, the numerous virions produced per day have the potential to be quite variable, and variation can increase quite rapidly.
Reverse transcriptase is error prone and has recombinogenic properties [Ref7], [Ref8]. The high error rate of transcription with reverse transcriptase contributes to the high mutation rate seen in HIV. However, reverse transcriptase is also highly recombinogenic: there are two copies of RNA packaged in the capsid of the virion, and reverse transcriptase has the ability to “jump” between each of the copies; this creates crossovers during the replication cycle, and when co-infection occurs in a cell, novel or hybrid genomes may be created.
Unfortunately, there are no distinctive symptoms used to diagnose HIV. The only definitive method of diagnosis is through testing. Some individuals may experience flu-like symptoms (such as fever, chills, rash, night sweats, achy muscles, sore throat, fatigue, etc) in the first 2-4 weeks after infection, but not every infected individual experiences symptoms, and these symptoms are not conclusive. For those experiencing symptoms, they may persist for a few days up to several weeks. In this early period, HIV tests may not yield a positive result even though the person is infectious. For more on HIV tests, see Testing.
For more on symptoms, see www.hiv.gov.
Once infected with HIV, there are three stages to the disease, explained in detail below.
Two to four weeks after infection, individuals may experience flu-like illness. In this stage, individuals are very infectious as the virus is replicating rapidly.
Also known as HIV inactivity or dormancy, asymptomatic HIV infection, or chronic HIV infection. During this period, the virus is still active but reproduction has slowed, and typically no symptoms are exhibited. The duration of this stage is incredibly variable: for some, it may last a decade or more; for others, it could be much shorter. Individuals are still infectious in this stage.
One HIV progresses to AIDS (acquired immunodeficiency syndrome), the disease has reached its most severe phase, and is characterized by progressive failure of the immune system. Because the immune system is severely damaged, individuals succumb to increasing numbers of severe illnesses (opportunistic infections). Without treatment, survival with AIDS is roughly 3 years. Diagnosis of AIDS can be by CD4 cell count: individuals with AIDS have CD4 counts of < 200 cells/mm^3 (compared to healthy individuals, with CD4 counts of 500 - 1600 cells/mm^3). In this stage, individuals are extremely infectious and have very high viral loads.
Many myths–and stigmas–persist around how HIV is transmitted. Understanding how it is–and is not–transmitted is key for the success of control efforts.
It is not possible to become infected with HIV through non-sexual contact with infectious individuals, nor by sharing an environment with them. HHIV does not survive long outside of the human body, so it CANNOT be transmitted through:
The environment, such as through air or water
Vectors, such as biting insects or other animals
Sharing toilets, touching surfaces exposed to infectious individuals
HIV is specific to particular body fluids, and does NOT live in saliva, sweat, or tears; it is not possible to become infected through contact with those fluids, nor by sharing food or drink with infectious individuals.
HIV has specific transmission routes and it only survives in particular bodily fluids: blood, semen, pre-seminal fluid, rectal and vaginal fluids, and breast milk. To get infected with HIV, infected fluids must come into contact with a mucous membrane or damaged tissue, or by being injected into the bloodstream (e.g. with shared needles).
The most common routes of HIV transmission are: * As an STI (with anal sex as the riskiest type of sex for HIV transmission) * Vertical transmission: from mother to child during pregnancy, birth, or through breastfeeding * From shared needles/syringes * Contact with open wounds (when contact is on damaged tissue) * Through blood transfusions/organ donations (when the donor blood was infectious)
While certain behaviors can increase risk of HIV (such as unprotected sex or sharing needles), other factors, such as co-infection with other STDs, can also increase the chances of HIV transmission. People with STDs are 3 times as likely to get HIV by having unprotected sex with an HIV+ person. This is because STDs can cause irritation of the skin, sores, etc, which makes it easier for HIV to enter the bloodstream. Even just irritation of the genital areas can increase the risk, as it increases the number of cells that can serve as targets for HIV. Conversely, HIV+ people with an STD are 3 times more likely as other HIV+ people to spread HIV through sexual contact. This is because having an STD causes an increased concentration of HIV virus in the semen & genital fluids.
There is no cure for HIV, but with proper treatment, those infected with HIV can now live normal lifespans. Additionally, there are treatments that will prevent transmission, which can be especially important for serodifferent partners.
There are multiple options to reduce the risk of HIV transmission:
Always use condoms with new partners, HIV+ partners, or those whose serology is unknown. In addition, always use proper lubricants.
Reduce your number of sexual partners.
Use PrEP (see below) for those that are at risk of contracting HIV.
Get regularly tested and treated for STDs.
Encourage HIV+ partners to remain on treatment.
Male circumcision: circumcision reduces the risk of men getting HIV from HIV+ female partners.
Pre-exposure prophylaxis, or PrEP is a daily medication that, when taken properly, reduces risk of HIV by 90% (70% for those using injectable drugs) [Ref19]. PrEP is a pill that combines two nucleoside reverse transcriptase inhibitors (NRTIs) (tenofovir, emtricitabine), both of which are used in some ART combinations. PrEP should be taken by individuals that are at high risk of contracting HIV.
PrEP reaches its maximum protection effectiveness at about 7 days of daily use for receptive anal sex, and at about 20 days of daily use for receptive vaginal sex and injective drug use. Currently, there little to determine how long it takes to reach maximum protection for insertive anal or insertive vaginal sex; current information can be found with the Risk Reduction Tool.
While there is no cure yet for HIV, antiretroviral therapy (ART) can be used to control HIV in infectious individuals. ART is a daily pill taken by HIV+ individuals, and is comprised of a combination of 3 medications which work to prevent the HIV virus from replicating. These combinations are comprised of nucleoside reverse transcriptase inhibitors (NRTIs), nonnucleoside reverse transcriptase inhibitors (NNRTIs), protease inhibitors, entry inhibitors, and integrase inhibitors. Using a multi-faceted approach with different drug combinations has helped prevent drug resistance in patients.
The sooner a patient beings taking ART, the better the treatment and control of HIV. The START study found that when treatment begins while CD4 counts are still relatively high, patients have a significantly reduced risk of developing AIDS. Further, everyone with HIV should be on ART, regardless of CD4 count: early results have shown that the risk of serious illness or death can be reduced by 53% in an early treatment group versus a deferred treatment group [Ref9].
ART should also be taken to help prevent transmission from infectious to uninfected individuals. The HPTN 052 study found that ART can reduce the risk of HIV transmission by 93%, and early ART can prevent HIV transmission. ART prevents transmission by reducing viral load to undetectable levels. Recent work by Rodger et al [Ref10] found that individuals on ART with a zero viral load did not transmit HIV to their partners. However, caution should still be taken as HIV is theoretically still transmissible, despite having undetectable viral loads. HIV can still exist in semen, vaginal or rectal fluids, breast milk, or other parts of the body–viral load tests only measure viral load in blood (see Testing). Further, viral load may increase between tests, making transmission possible even after a test with an undetectable load. Finally, STDs increase viral load in genital fluids; so having an STD and HIV may increase risk of transmitting to partners even if viral load is undetectable in blood.
As of 2015, there are an estimated 1.8 million children (under the age of 15) living with HIV [Ref11]. The majority of cases in children occur through vertical transmission, where HIV was transmitted to the child from an HIV+ mother during pregnancy, childbirth, or breastfeeding. Prevention of mother-to-child transmission (MTCT) programs, or PMTCT, aim to reduce these numbers drastically. According to the WHO, globally there were over 1.4 pregnant women with HIV in 2016; left untreated, the risk of HIV transmission to their children can be as high as 45% [Ref12]. Fortunately, the risk of MTCT is reduced to less than 5% when women are on ART [Ref11], and PMTCT programs have been largely successful: an estimated 76% of HIV+ pregnant and breastfeeding women received antiretroviral drugs in 2016.
Despite progress with these programs, there is still much room for improvement. In 2015 an estimated 150,000 children were infected with HIV [Ref11], and by the end of 2016, only about 43% of infected children had access to ART. For children born with HIV, 50% of them will not survive past the age of two [Ref11] without treatment.
For more information on the global PMTCT plans, targets, and progress, see Avert.
The driving goal for HIV is to end the global AIDS epidemic. To achieve this, UNAIDS has created an ambitious target program called “90-90-90.” Under these guidelines, the goal is that by the year 2020, 90% of all people living with HIV will know their status; 90% of all people with a diagnosed HIV infection will receive sustained ART; and 90% of all people on ART will have viral suppression [Ref13].
Achievement of these goals will facilitate ending the worldwide AIDS epidemic by 2030. When the targets are reached, 73% of all people living with HIV will be virally suppressed–a roughly two- to three-fold increase over current estimates viral suppression [Ref13]. Testing is a key step in acheving these goals, as many people living with HIV are unaware of their status. In 2014, a report by UNAIDS found that approximately 54% of people were unaware of their positive infection status. Fortunately, current estimates are higher, with roughly 70% of people aware of their HIV status; an additional 7.5 million people need to access testing to reach the 90% target [Ref18]. To achieve viral suppression, individuals living with HIV need to have reliable access to treatment. In 2016, approximately 53% of adults and 43% of children living with HIV had access to treatment [Ref14]. With the 90-90-90 goals, these numbers are expected to increase rapidly.
However, while universal test and treat remains an important component of combination HIV Prevention [Ref15], [Ref16], there is growing skepticism as to whether the 90-90-90 goals, and universal test and treat in general, will be sufficient to end the epidemic [Ref17].
Testing is the only definitive method for diagnosing HIV infection, making it the important first step for care. According to the CDC, everyone between the ages of 13-64 should be tested at least once during routine care. Those at higher risk of HIV exposure should get tested more frequently, such as every 3-6 months. No test is able to detect HIV immediately after exposure, so testing regimes need to be conducted on appropriate time-scales.
There are three main types of tests currently in use; note that any positive test, regardless of type, requires a follow-up test (usually in a lab) to confirm the results.
Nucleic acid testing (NAT): These test for virus in the blood, and is also known as a viral load test. These tests tend to be more expensive than other methods, and are not commonly used in routine testing. These tests are accurate during the early stages of infection, and can detect HIV 10 - 33 days after exposure.
Antigen/antibody tests: These test for the presence of HIV antibodies and antigens. When the test is conducted in a lab using blood from a vein, they are able to detect HIV 18 - 45 days after exposure. When the test is conducted using a finger prick, they are able to detect HIV 18 - 90 days after exposure.
Rapid tests and home tests: These tests are also antibody tests, and typically rely on blood from a finger prick or oral fluid. These tests have been designed to facilitate fast turnaround for results.
Some rapid tests are laboratory antibody tests; they utilize vein-drawn blood, and results take several days.
Rapid antibody screening tests can be ready in less than 30 minutes, and are used in both clinical and non-clinical settings. These tests typically use a finger-prick or oral fluid.
Oral fluid antibody self-test: these tests have been designed for ease of use, so that the patient can test themselves. An oral swab is used, and results can be ready in as little as 20 minutes; these tests are used at home, in clinics, or in community testing centers.
Home collection kits. These kits are designed to be used in the home; the patient takes a finger prick, sends the test to a lab, and can get the results by the next day.
The HIV/AIDS epidemic reached peak mortality in 2005, with 2.6 million deaths [Ref14]. Since the start of the epidemic, the WHO estimates that over 70 million people have been infected, and 35 million have died. Global efforts at prevention and control have been largely successful in reducing the numbers of infections, and even more successful in reducing mortality due to HIV. However, despite these efforts and advances, there is still much work to be done for HIV control.
The Institute for Health Metric Evaluation at the University of Washington tracks mortality and disease burden for HIV/AIDS with their Global Burden of Disease (GBD) study. Despite the enormous increases in funding, HIV/AIDS remains in the top 10 causes of mortality worldwide, and success in prevention, treatment, and control efforts varies dramatically by country. As of the end of 2016, there are upwards of 34 million adults–approximately 0.8% of adults aged 15-49 worldwide–living with HIV [Ref18], and almost 2 million children living with HIV [Ref19]. Sub-Saharan Africa is the most seriously impacted region, with close to 1 in every 25 adults (4.2%) living with HIV; this accounts for almost 2/3 of all worldwide cases [Ref18].
Because HIV cannot be cured, there have been immense efforts placed on prevention of new infections. As of 2016, there are still around 2 million new cases in adults [Ref20] and 150,000 cases in children each year [Ref11]. Despite the high numbers of individuals living with HIV, prevention efforts have been successful, as overall disease incidence is down. Since 2000, there has been a 35% decrease in adult infections and 58% decrease in infections in children [Ref21].
In addition to prevention of new infections, control of HIV has also focused on the care of individuals living with HIV, in order to reduce mortality. Approximately 1 million people still die each year from HIV-related illnesses [Ref18]. While this number is unfortunately large, it is actually a 42% decrease from the peak deaths in 2004/2005 [Ref21].
Much of the success in prevention and treatment of HIV stems from advances in medication, namely the antiretrovirals that are available. There has been an 84% increase in access to ART since 2010 [Ref21]. Access to ART, combined with the global response to HIV, is responsible for averting roughly 30 million new infections and almost 8 million deaths since 2000 [Ref21]. The progress is remarkable, but the effort continues to halt the spread of HIV.
Ending the AIDS epidemic is a formidable challenge that requires a multifaceted and multi- disciplinary approach. While HIV treatment and prevention efforts are crucial components, mathematical modeling also plays a vital role. In general, modeling and quantitative analysis can provide insight into key factors influencing transmission dynamics and serve as the groundwork for evidence-based policy- and decision-making.
Modeling approaches have proven to be invaluable for understanding HIV transmission and developing control strategies. As resources are often limited, modeling can be used to evaluate intervention strategies and their potential impacts on HIV transmission [Ref22] before programs are implemented. This can provide insight into the cost and cost-effectiveness of treatment programs [Ref23], [Ref24], and help determine the ways in which to most effectively use available resources. Further, modeling can help to identify particular risk groups and target populations that may have the largest impact on disrupting HIV transmission [Ref25]. And conversely, models can highlight how targeting particular risk groups for interventions will not provide enough impact to disrupt transmission, and is in fact, “too little too late” [Ref26]. Finally, modeling was instrumental in determining the population-size targets for global interventions: the 90-90-90 program (see 90-90-90) utilized models to determine how many people need to gain access to care in order to end the AIDS epidemic, and, when those targets are adhered to, when the epidemic should end [Ref13].
Controlling HIV/AIDS requires not just population-level understanding of transmission dynamics, but a thorough comprehension of within-host dynamics as well. Fortunately, mathematical models have also proven valuable for this, by elucidating the impact and interactions HIV has on the immune system. Further, models are able to help determine effects of particular drug treatments [Ref27], and to identify optimal drug therapy regimes [Ref28].
World Health Organization (WHO), http://www.who.int/mediacentre/factsheets/fs360/en/
National Institutes of Health (NIH), https://www.niaid.nih.gov/diseases-conditions/hivaids
Centers for Disease Control and Prevention (CDC), https://www.cdc.gov/hiv/basics/index.html
Doitsh et al., 2013. Cell death by pyroptosis drives CD4 T-cell depletion in HIV-1 infection. Nature, doi:10.1038/nature12940
Monroe et al., 2013. IFI16 DNA sensor is required for death of lymphoid CD4 T cells abortively infected with HIV. Science, doi:10.1126/science.1243640
Sharp, P. M.; Hahn, B. H., 2011. Origins of HIV and the AIDS Pandemic. Cold Spring Harbor Perspectives in Medicine. 1 (1): a006841–a006835. doi:10.1101/cshperspect.a006841. PMC 3234451 Freely accessible. PMID 22229120.
Roach JC, Glusman G, Smit AF, et al., 2010. Analysis of genetic inheritance in a family quartet by whole-genome sequencing. Science. 328 (5978): 636–9. doi:10.1126/science.1186802. PMC 3037280 Freely accessible. PMID 20220176
Reeves, Jacqueline D. and Derdeyn, Cynthia A. Entry Inhibitors in HIV Therapy. Boston: Birkhauser Verlag, 2007.
Domingo, Esteban; Parrish, Colin R.; and Holland, John J. Origin and Evolution of Viruses. New York: Elsevier, 2008.
Strategic Timing of AntiRetroviral Treatment (START) study: https://www.nih.gov/news-events/news-releases/starting-antiretroviral-treatment-early-improves-outcomes-hiv-infected-individuals
Rodger et al, 2016. Sexual activity without condoms and risk of HIV transmission in serodifferent couples when the HIV-positive partner is using suppressive antiretroviral therapy. JAMA 316(2): 171-181.
UNAIDS, Children and HIV fact sheet. http://www.unaids.org/sites/default/files/media_asset/FactSheet_Children_en.pdf
Avert.org, Prevention of Mother-to-Child Transmission (PMTCT) of HIV. https://www.avert.org/professionals/hiv-programming/prevention/prevention-mother-child
UNAIDS, 90-90-90 - An ambitious treatment target to help end the AIDS epidemic http://www.unaids.org/en/resources/documents/2017/90-90-90
UNAIDS, HIV fact sheet http://www.unaids.org/en/resources/campaigns/globalreport2013/factsheet
Eaton JW, Johnson LF, Salomon JA, Bärnighausen T, Bendavid E, Bershteyn A, et al. HIV Treatment as Prevention: Systematic Comparison of Mathematical Models of the Potential Impact of Antiretroviral Therapy on HIV Incidence in South Africa. PLOS Medicine 2012,9:e1001245.
Tanser F, Bärnighausen T, Grapsa E, Zaidi J, Newell M-L. High Coverage of ART Associated with Decline in Risk of HIV Acquisition in Rural KwaZulu-Natal, South Africa. Science 2013,339:966-971.
Akullian A, Bershteyn A, Jewell B, Camlin CS. The Missing 27%. AIDS 2017.
World Health Organization (WHO), Global Health Observatory (GHO) data. http://www.who.int/gho/hiv/en/
The Global HIV/AIDS Epidemic, https://www.hiv.gov/hiv-basics/overview/data-and-trends/global-statistics
World Health Organization (WHO) HIV/AIDS Fact Sheet http://www.who.int/mediacentre/factsheets/fs360/en/
UNAIDS, AIDS by the numbers http://www.unaids.org/en/resources/documents/2015/AIDS_by_the_numbers_2015
Kim, S.B, et al., 2014. Mathematical Modeling of HIV Prevention Measures Including Pre-Exposure Prophylaxis on HIV Incidence in South Korea. PLOS One. March 24, 2014. https://doi.org/10.1371/journal.pone.0090080
Eaton, J. W., et al. 2014. Health benefits, costs, and cost-effectiveness of earlier eligibility for adult antiretroviral therapy and expanded treatment coverage: a combined analysis of 12 mathematical models. The Lancet Global Health. V2. e23-234. http://www.thelancet.com/journals/langlo/article/PIIS2214-109X(13)70172-4/fulltext
Meyer-Rath, G., Over, M., Klein, D., and Bershteyn, A., 2015. The Cost and Cost-Effectiveness of Alternative Strategies to Expand Treatment to HIV-Positive South Africans: Scale Economies and Outreach Costs - Working Paper 401. Center for Global Development. https://www.cgdev.org/publication/cost-and-cost-effectiveness-alternative-strategies-expand-treatment-hiv-positive-south
Bershyteyn, A., Klein, D.J., and Eckhoff, P.A., 2016. AGe-targeted HIV treatment and primary prevention as a ‘ring fence’ to efficiently intterupt the age patterns of transmission in generalized epidemic settings in South Africa. International Health. 8(4): 277-285. https://doi.org/10.1093/inthealth/ihw010
Klein, D., Eckhoff, P., and Bershteyn, A., 2015. Targeting HIV Services to Male Migrant Workers in Southern Africa Would Not Reverse Generalized HIV Epidemics. International Health. 7(2): 107-113. https://doi.org/10.1093/inthealth/ihv011
Rivadeneira, P.S, et al., 2014. Mathematical Modeling of HIV Dynamics After Antiretroviral Therapy Initiation: A Review. Biores Open Access v.3(5): 233-241. doi: 10.1089/biores.2014.0024
Ogunlaran, O.M., and Noutchie, C.O., 2016. Mathematical Model for an Effective Management of HIV Infection. BioMed Research International. Volume 2016, Article ID 217548, 6 pp. http://dx.doi.org/10.1155/2016/4217548