Uncovering the impact of randomness in HIV hotspot formation: A mathematical modeling study.

<h4>Background</h4>HIV hotspots, regions with higher prevalence than surrounding areas, are observed across Africa, yet their formation and persistence mechanisms remain poorly understood. We hypothesized that random fluctuations during the early stages of the HIV epidemic (1978-1982), a...

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Main Authors: Nao Yamamoto, Daniel T Citron, Samuel M Mwalili, Duncan K Gathungu, Diego F Cuadros, Anna Bershteyn
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2025-06-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1013178
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author Nao Yamamoto
Daniel T Citron
Samuel M Mwalili
Duncan K Gathungu
Diego F Cuadros
Anna Bershteyn
author_facet Nao Yamamoto
Daniel T Citron
Samuel M Mwalili
Duncan K Gathungu
Diego F Cuadros
Anna Bershteyn
author_sort Nao Yamamoto
collection DOAJ
description <h4>Background</h4>HIV hotspots, regions with higher prevalence than surrounding areas, are observed across Africa, yet their formation and persistence mechanisms remain poorly understood. We hypothesized that random fluctuations during the early stages of the HIV epidemic (1978-1982), amplified by positive feedback between HIV incidence and prevalence, play a critical role in hotspot formation and persistence. To explore this, we applied a network-based HIV transmission model, focusing on randomness in the spatial structure of the epidemic.<h4>Methods</h4>We adapted a previously validated agent-based network HIV transmission model, EMOD-HIV, to simulate HIV spread in western Kenya communities. The model includes demographics, age-structured social networks, and HIV transmission, prevention, and treatment. We simulated 250 identical communities, introducing stochastic fluctuations in network structure and case importation. Outliers were defined as communities with prevalence > 1.5x the median, and persistence as meeting these criteria for >70% of 1980-2050. We systematically varied community size (1,000-10,000), importation timing (1978-1982), and importation patterns (spread over 1, 3, or 5 years), and calculated the proportion of outliers and persistent outliers.<h4>Results</h4>HIV prevalence outliers were more common in smaller communities: in 1990, 25.3% (uncertainty interval: 22.3%-28.2%) of 1,000-person communities vs. 9.1% (uncertainty interval: 6.9%-11.4%) of 10,000-person communities. By 2050, 21.6% of 1,000-person communities were persistent outliers, compared to none in larger communities. Autocorrelation of HIV prevalence was high (Pearson's correlation coefficient 0.801 [95% CI: 0.796-0.806] for 1,000-person communities), reflecting feedback that amplified early fluctuations.<h4>Conclusions</h4>Early random fluctuations contribute to the emergence and persistence of prevalence outliers, especially in smaller communities. Recognizing the role of randomness in prevalence outlier formation in these settings is crucial for refining HIV control strategies, as traditional methods may overlook these areas. Adaptive surveillance systems can enhance detection and intervention efforts for HIV and future pandemics.
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spelling doaj-art-0dd4a996eb264c0db20c1efb5875dc082025-08-20T03:50:26ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582025-06-01216e101317810.1371/journal.pcbi.1013178Uncovering the impact of randomness in HIV hotspot formation: A mathematical modeling study.Nao YamamotoDaniel T CitronSamuel M MwaliliDuncan K GathunguDiego F CuadrosAnna Bershteyn<h4>Background</h4>HIV hotspots, regions with higher prevalence than surrounding areas, are observed across Africa, yet their formation and persistence mechanisms remain poorly understood. We hypothesized that random fluctuations during the early stages of the HIV epidemic (1978-1982), amplified by positive feedback between HIV incidence and prevalence, play a critical role in hotspot formation and persistence. To explore this, we applied a network-based HIV transmission model, focusing on randomness in the spatial structure of the epidemic.<h4>Methods</h4>We adapted a previously validated agent-based network HIV transmission model, EMOD-HIV, to simulate HIV spread in western Kenya communities. The model includes demographics, age-structured social networks, and HIV transmission, prevention, and treatment. We simulated 250 identical communities, introducing stochastic fluctuations in network structure and case importation. Outliers were defined as communities with prevalence > 1.5x the median, and persistence as meeting these criteria for >70% of 1980-2050. We systematically varied community size (1,000-10,000), importation timing (1978-1982), and importation patterns (spread over 1, 3, or 5 years), and calculated the proportion of outliers and persistent outliers.<h4>Results</h4>HIV prevalence outliers were more common in smaller communities: in 1990, 25.3% (uncertainty interval: 22.3%-28.2%) of 1,000-person communities vs. 9.1% (uncertainty interval: 6.9%-11.4%) of 10,000-person communities. By 2050, 21.6% of 1,000-person communities were persistent outliers, compared to none in larger communities. Autocorrelation of HIV prevalence was high (Pearson's correlation coefficient 0.801 [95% CI: 0.796-0.806] for 1,000-person communities), reflecting feedback that amplified early fluctuations.<h4>Conclusions</h4>Early random fluctuations contribute to the emergence and persistence of prevalence outliers, especially in smaller communities. Recognizing the role of randomness in prevalence outlier formation in these settings is crucial for refining HIV control strategies, as traditional methods may overlook these areas. Adaptive surveillance systems can enhance detection and intervention efforts for HIV and future pandemics.https://doi.org/10.1371/journal.pcbi.1013178
spellingShingle Nao Yamamoto
Daniel T Citron
Samuel M Mwalili
Duncan K Gathungu
Diego F Cuadros
Anna Bershteyn
Uncovering the impact of randomness in HIV hotspot formation: A mathematical modeling study.
PLoS Computational Biology
title Uncovering the impact of randomness in HIV hotspot formation: A mathematical modeling study.
title_full Uncovering the impact of randomness in HIV hotspot formation: A mathematical modeling study.
title_fullStr Uncovering the impact of randomness in HIV hotspot formation: A mathematical modeling study.
title_full_unstemmed Uncovering the impact of randomness in HIV hotspot formation: A mathematical modeling study.
title_short Uncovering the impact of randomness in HIV hotspot formation: A mathematical modeling study.
title_sort uncovering the impact of randomness in hiv hotspot formation a mathematical modeling study
url https://doi.org/10.1371/journal.pcbi.1013178
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