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A threshold delay model of HIV infection of newborn infants through breastfeeding

The breast milk of HIV infected women contains HIV virus particles, therefore children can become infected through breastfeeding. We develop a mathematical epidemiological model of HIV infection in infants, infected children and infected women that represents infection of an infant/child as a series...

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Autores principales: Teslya, Alexandra, Qesmi, Redouane, Wu, Jianhong, Heffernan, Jane M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: KeAi Publishing 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6554533/
https://www.ncbi.nlm.nih.gov/pubmed/31194190
http://dx.doi.org/10.1016/j.idm.2019.05.001
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author Teslya, Alexandra
Qesmi, Redouane
Wu, Jianhong
Heffernan, Jane M.
author_facet Teslya, Alexandra
Qesmi, Redouane
Wu, Jianhong
Heffernan, Jane M.
author_sort Teslya, Alexandra
collection PubMed
description The breast milk of HIV infected women contains HIV virus particles, therefore children can become infected through breastfeeding. We develop a mathematical epidemiological model of HIV infection in infants, infected children and infected women that represents infection of an infant/child as a series of exposures, by incorporating within-host virus dynamics in the individuals exposed to the virus through breastfeeding. We show that repeated exposures of the infant/child via breastfeeding can cause bi-stability dynamics and, subsequently, infection persistence even when the epidemiological basic reproduction number [Formula: see text] is less than unity. This feature of the model, due to a backward bifurcation, gives new insight into the control mechanisms of HIV disease through breastfeeding.
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spelling pubmed-65545332019-06-10 A threshold delay model of HIV infection of newborn infants through breastfeeding Teslya, Alexandra Qesmi, Redouane Wu, Jianhong Heffernan, Jane M. Infect Dis Model Mathematics for Public Health--in honor of Karl Hadeler; Edited by Dr. Julien Arino, Dr. Fred Brauer, Dr. Mirjam Kretzschmar, Dr. Jianhong Wu The breast milk of HIV infected women contains HIV virus particles, therefore children can become infected through breastfeeding. We develop a mathematical epidemiological model of HIV infection in infants, infected children and infected women that represents infection of an infant/child as a series of exposures, by incorporating within-host virus dynamics in the individuals exposed to the virus through breastfeeding. We show that repeated exposures of the infant/child via breastfeeding can cause bi-stability dynamics and, subsequently, infection persistence even when the epidemiological basic reproduction number [Formula: see text] is less than unity. This feature of the model, due to a backward bifurcation, gives new insight into the control mechanisms of HIV disease through breastfeeding. KeAi Publishing 2019-05-16 /pmc/articles/PMC6554533/ /pubmed/31194190 http://dx.doi.org/10.1016/j.idm.2019.05.001 Text en © 2019 The Authors. Production and hosting by Elsevier B.V. on behalf of KeAi Communications Co., Ltd. http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Mathematics for Public Health--in honor of Karl Hadeler; Edited by Dr. Julien Arino, Dr. Fred Brauer, Dr. Mirjam Kretzschmar, Dr. Jianhong Wu
Teslya, Alexandra
Qesmi, Redouane
Wu, Jianhong
Heffernan, Jane M.
A threshold delay model of HIV infection of newborn infants through breastfeeding
title A threshold delay model of HIV infection of newborn infants through breastfeeding
title_full A threshold delay model of HIV infection of newborn infants through breastfeeding
title_fullStr A threshold delay model of HIV infection of newborn infants through breastfeeding
title_full_unstemmed A threshold delay model of HIV infection of newborn infants through breastfeeding
title_short A threshold delay model of HIV infection of newborn infants through breastfeeding
title_sort threshold delay model of hiv infection of newborn infants through breastfeeding
topic Mathematics for Public Health--in honor of Karl Hadeler; Edited by Dr. Julien Arino, Dr. Fred Brauer, Dr. Mirjam Kretzschmar, Dr. Jianhong Wu
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6554533/
https://www.ncbi.nlm.nih.gov/pubmed/31194190
http://dx.doi.org/10.1016/j.idm.2019.05.001
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