{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T15:41:52Z","timestamp":1773330112022,"version":"3.50.1"},"reference-count":34,"publisher":"Public Library of Science (PLoS)","issue":"4","license":[{"start":{"date-parts":[[2023,4,13]],"date-time":"2023-04-13T00:00:00Z","timestamp":1681344000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Universidad Tecnologica del Peru","award":["P-2020-LIM-01"],"award-info":[{"award-number":["P-2020-LIM-01"]}]},{"name":"PRONII - PROCIENCIA - CONACYT - FEEI"},{"name":"PRONII - PROCIENCIA - CONACYT - FEEI"}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS ONE"],"abstract":"<jats:sec id=\"sec001\"><jats:title>Introduction<\/jats:title><jats:p>Dengue is transmitted by the<jats:italic>Aedes aegypti<\/jats:italic>mosquito as a vector, and a recent outbreak was reported in several districts of Lima, Peru. We conducted a modeling study to explain the transmission dynamics of dengue in three of these districts according to the demographics and climatology.<\/jats:p><\/jats:sec><jats:sec id=\"sec002\"><jats:title>Methodology<\/jats:title><jats:p>We used the weekly distribution of dengue cases in the Comas, Lurigancho, and Puente Piedra districts, as well as the temperature data to investigate the transmission dynamics. We used maximum likelihood minimization and the human susceptible-infected-recovered and vector susceptible-infected (SIR-SI) model with a Gaussian function for the infectious rate to consider external non-modeled variables.<\/jats:p><\/jats:sec><jats:sec id=\"sec003\"><jats:title>Results\/principal findings<\/jats:title><jats:p>We found that the adjusted SIR-SI model with the Gaussian transmission rate (for modelling the exogenous variables) captured the behavior of the dengue outbreak in the selected districts. The model explained that the transmission behavior had a strong dependence on the weather, cultural, and demographic variables while other variables determined the start of the outbreak.<\/jats:p><\/jats:sec><jats:sec id=\"sec004\"><jats:title>Conclusion\/significance<\/jats:title><jats:p>The experimental results showed good agreement with the data and model results when a Bayesian-Gaussian transmission rate was employed. The effect of weather was also observed, and a strong qualitative relationship was obtained between the transmission rate and computed effective reproduction number<jats:italic>R<\/jats:italic><jats:sub><jats:italic>t<\/jats:italic><\/jats:sub>.<\/jats:p><\/jats:sec>","DOI":"10.1371\/journal.pone.0284263","type":"journal-article","created":{"date-parts":[[2023,4,13]],"date-time":"2023-04-13T18:04:32Z","timestamp":1681409072000},"page":"e0284263","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":9,"title":["SIR-SI model with a Gaussian transmission rate: Understanding the dynamics of dengue outbreaks in Lima, Peru"],"prefix":"10.1371","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0471-6746","authenticated-orcid":true,"given":"Max Carlos","family":"Ram\u00edrez-Soto","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Juan Vicente Bogado","family":"Machuca","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Diego H.","family":"Stalder","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Denisse","family":"Champin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maria G.","family":"M\u00e1rtinez-Fern\u00e1ndez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Christian E.","family":"Schaerer","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"340","published-online":{"date-parts":[[2023,4,13]]},"reference":[{"issue":"7446","key":"pone.0284263.ref001","doi-asserted-by":"crossref","first-page":"504","DOI":"10.1038\/nature12060","article-title":"The global distribution and burden of dengue","volume":"496","author":"S Bhatt","year":"2013","journal-title":"Nature"},{"key":"pone.0284263.ref002","unstructured":"Organization WH. 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Lima, Per\u00fa. junio 2004","volume":"22","author":"R Jamanca","year":"2005","journal-title":"Revista Peruana de Medicina Experimental y Salud P\u00fablica"},{"key":"pone.0284263.ref009","first-page":"146","article-title":"Dengue in Peru: A quarter century after its reemergence","author":"C C\u00e9sar","year":"2015","journal-title":"Revista Peruana de Medicina Experimental y Salud Publica"},{"issue":"3","key":"pone.0284263.ref010","doi-asserted-by":"crossref","first-page":"e0005429","DOI":"10.1371\/journal.pntd.0005429","article-title":"The relationship between entomological indicators of Aedes aegypti abundance and dengue virus infection","volume":"11","author":"EA Cromwell","year":"2017","journal-title":"PLoS neglected tropical diseases"},{"issue":"11","key":"pone.0284263.ref011","doi-asserted-by":"crossref","first-page":"e49085","DOI":"10.1371\/journal.pone.0049085","article-title":"Dynamic epidemiological models for dengue transmission: a systematic review of structural approaches","volume":"7","author":"M Andraud","year":"2012","journal-title":"PloS one"},{"issue":"59","key":"pone.0284263.ref012","first-page":"839","article-title":"Community perceptions about dengue prevention in human settlements. Lima-Peru, 2015\/Percepciones comunitarias relativas a la prevencion del dengue en asentamientos humanos afectados. Lima-Peru, 2015\/Percepcoes comunitarias na prevencao da dengue nos assentamentos humanos. Lima-Peru, 2015","volume":"20","author":"G Carmona","year":"2016","journal-title":"Interface: Comunica\u00e7\u00e3o Sa\u00fade Educa\u00e7\u00e3o"},{"issue":"9","key":"pone.0284263.ref013","doi-asserted-by":"crossref","first-page":"2029","DOI":"10.1080\/02664763.2012.700450","article-title":"Vector-borne infectious disease mapping with stochastic difference equations: an analysis of dengue disease in Malaysia","volume":"39","author":"N Samat","year":"2012","journal-title":"Journal of Applied Statistics"},{"key":"pone.0284263.ref014","doi-asserted-by":"crossref","unstructured":"Bogado JV, Stalder D, Schaerer CE, Ram\u00edrez-Soto M, Champin D. Temperature-based Dengue Outbreaks Modelling with Exogenous Variables. Proceeding Series of the Brazilian Society of Computational and Applied Mathematics. 2022;.","DOI":"10.5540\/03.2022.009.01.0311"},{"issue":"81","key":"pone.0284263.ref015","doi-asserted-by":"crossref","first-page":"20120921","DOI":"10.1098\/rsif.2012.0921","article-title":"A systematic review of mathematical models of mosquito-borne pathogen transmission: 1970\u20132010","volume":"10","author":"RC Reiner","year":"2013","journal-title":"Journal of The Royal Society Interface"},{"key":"pone.0284263.ref016","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1016\/j.tpb.2020.07.003","article-title":"A class of fast\u2013slow models for adaptive resistance evolution","volume":"135","author":"PE P\u00e9rez-Estigarribia","year":"2020","journal-title":"Theoretical Population Biology"},{"key":"pone.0284263.ref017","doi-asserted-by":"crossref","unstructured":"Estigarribia PEP, Bliman PA, Schaerer CE. Modelling and control of Mendelian and maternal inheritance for biological control of dengue vectors. In: 2021 European Control Conference (ECC). IEEE; 2021. p. 333\u2013340.","DOI":"10.23919\/ECC54610.2021.9655215"},{"issue":"6","key":"pone.0284263.ref018","doi-asserted-by":"crossref","first-page":"e0199205","DOI":"10.1371\/journal.pone.0199205","article-title":"Potential effects of climate change on dengue transmission dynamics in Korea","volume":"13","author":"H Lee","year":"2018","journal-title":"PLoS One"},{"issue":"3","key":"pone.0284263.ref019","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1038\/s41592-019-0686-2","article-title":"SciPy 1.0: fundamental algorithms for scientific computing in Python","volume":"17","author":"P Virtanen","year":"2020","journal-title":"Nature methods"},{"key":"pone.0284263.ref020","unstructured":"MINSA C. Situaci\u00f3n del dengue en el Per\u00fa; 2022. Available from: https:\/\/www.dge.gob.pe\/portalnuevo\/informacion-publica\/situacion-del-dengue-en-el-peru\/."},{"key":"pone.0284263.ref021","unstructured":"SENAMHI SNdMeHdP. Nationwide temperature monitoring, Peru. Lima: SENAMHI; 2022. Available from: https:\/\/www.senamhi.gob.pe\/?p=monitoreo-de-temperatura."},{"issue":"19","key":"pone.0284263.ref022","doi-asserted-by":"crossref","first-page":"4069","DOI":"10.1016\/j.scitotenv.2010.05.021","article-title":"Lagged temperature effect with mosquito transmission potential explains dengue variability in southern Taiwan: Insights from a statistical analysis","volume":"408","author":"SC Chen","year":"2010","journal-title":"Science of The Total Environment"},{"issue":"2","key":"pone.0284263.ref023","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1214\/aos\/1176344136","article-title":"Estimating the Dimension of a Model","volume":"6","author":"G Schwarz","year":"1978","journal-title":"The Annals of Statistics"},{"key":"pone.0284263.ref024","doi-asserted-by":"crossref","unstructured":"Brauer F, Castillo-Chavez C. Mathematical Models for Communicable Diseases. Philadelphia, PA: Society for Industrial and Applied Mathematics; 2012. Available from: https:\/\/epubs.siam.org\/doi\/abs\/10.1137\/1.9781611972429.","DOI":"10.1137\/1.9781611972429"},{"issue":"2","key":"pone.0284263.ref025","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/S0025-5564(98)10003-2","article-title":"Analysis of a dengue disease transmission model","volume":"150","author":"L Esteva","year":"1998","journal-title":"Mathematical Biosciences"},{"issue":"1","key":"pone.0284263.ref026","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.mbs.2012.11.014","article-title":"An optimal control problem arising from a dengue disease transmission model","volume":"242","author":"D Aldila","year":"2013","journal-title":"Mathematical Biosciences"},{"issue":"3","key":"pone.0284263.ref027","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1016\/j.biosystems.2010.11.002","article-title":"Follow up estimation of Aedes aegypti entomological parameters and mathematical modellings","volume":"103","author":"HM Yang","year":"2011","journal-title":"Biosystems"},{"issue":"6","key":"pone.0284263.ref028","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1371\/journal.pntd.0009465","article-title":"Temperature, traveling, slums, and housing drive dengue transmission in a non-endemic metropolis","volume":"15","author":"JM Gurevitz","year":"2021","journal-title":"PLOS Neglected Tropical Diseases"},{"issue":"11","key":"pone.0284263.ref029","first-page":"1","article-title":"Forecast of Dengue Incidence Using Temperature and Rainfall","volume":"6","author":"YL Hii","year":"2012","journal-title":"PLOS Neglected Tropical Diseases"},{"issue":"4","key":"pone.0284263.ref030","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1023\/A:1008202821328","article-title":"Differential Evolution\u2014A Simple and Efficient Heuristic for Global Optimization over Continuous Spaces","volume":"11","author":"R Storn","year":"1997","journal-title":"J of Global Optimization"},{"key":"pone.0284263.ref031","doi-asserted-by":"crossref","first-page":"716","DOI":"10.1109\/TAC.1974.1100705","article-title":"A New Look at the Statistical Model Identification","volume":"19","author":"H Akaike","year":"1974","journal-title":"IEEE Transactions on Automatic Control"},{"key":"pone.0284263.ref032","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1007\/978-1-4612-1694-0_15","volume-title":"Selected papers of hirotugu akaike","author":"H Akaike","year":"1998"},{"key":"pone.0284263.ref033","doi-asserted-by":"crossref","unstructured":"Rodr\u00edguez C. The ABC of model selection: AIC, BIC and the new CIC. In: AIP Conference Proceedings. vol. 803-1. American Institute of Physics; 2005. p. 80\u201387.","DOI":"10.1063\/1.2149782"},{"key":"pone.0284263.ref034","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1016\/j.scitotenv.2012.05.012","article-title":"Modeling the transmission dynamics of dengue fever: implications of temperature effects","volume":"431","author":"SC Chen","year":"2012","journal-title":"Science of the total environment"}],"container-title":["PLOS ONE"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0284263","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,18]],"date-time":"2024-10-18T07:29:22Z","timestamp":1729236562000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0284263"}},"subtitle":[],"editor":[{"given":"Jan","family":"Rycht\u00e1\u0159","sequence":"first","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2023,4,13]]},"references-count":34,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,4,13]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pone.0284263","relation":{},"ISSN":["1932-6203"],"issn-type":[{"value":"1932-6203","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,4,13]]}}}