{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T19:22:05Z","timestamp":1778700125593,"version":"3.51.4"},"reference-count":56,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2018,2,1]],"date-time":"2018-02-01T00:00:00Z","timestamp":1517443200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Mathematical Biosciences"],"published-print":{"date-parts":[[2018,2]]},"DOI":"10.1016\/j.mbs.2017.12.004","type":"journal-article","created":{"date-parts":[[2017,12,13]],"date-time":"2017-12-13T08:42:44Z","timestamp":1513154564000},"page":"60-70","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":29,"special_numbering":"C","title":["Mathematical modelling and numerical simulations of the influence of hygiene and seasons on the spread of cholera"],"prefix":"10.1016","volume":"296","author":[{"given":"Ezekiel","family":"Dangb\u00e9","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Damakoa","family":"Ir\u00e9pran","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Antoine","family":"Perasso","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"B\u00e9koll\u00e9","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.mbs.2017.12.004_bib0001","first-page":"406","article-title":"Modeling and analysis of the spread of an infectious disease cholera with environmental fluctuations","volume":"7","author":"Agarwal","year":"2012","journal-title":"Appl. Appl. Math."},{"key":"10.1016\/j.mbs.2017.12.004_bib0002","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1142\/S021833901340007X","article-title":"Modeling cholera disease with education and chlorination","volume":"21","author":"AL-Arydah","year":"2013","journal-title":"J. Biol. Syst."},{"key":"10.1016\/j.mbs.2017.12.004_bib0003","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1029\/2004JC002504","article-title":"Inter and intra-annual analysis of the salinity and temperature evolution in the galician rias baixas-ocean boundary (northwest spain)","volume":"110","author":"Alvarez","year":"2005","journal-title":"J. Geophys. Res."},{"key":"10.1016\/j.mbs.2017.12.004_bib0004","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1029\/2011GL050723","article-title":"Hydroclimatology of dual-peak annual cholera incidence: insights from a spatially explicit model","volume":"39","author":"Bertuzzo","year":"2012","journal-title":"Geophys. Res. Lett."},{"key":"10.1016\/j.mbs.2017.12.004_bib0005","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1371\/journal.pntd.0000436","article-title":"Cholera epidemics, war and disasters around goma and lake kivu: an eight-year survey","volume":"3","author":"Bompangue","year":"2009","journal-title":"PLoS Negl. Trop. Dis."},{"key":"10.1016\/j.mbs.2017.12.004_bib0006","series-title":"Mesure de la salinit\u00e9. Ralisation d\u2019un conductim\u00e9tre","author":"Bouchar","year":"2010"},{"key":"10.1016\/j.mbs.2017.12.004_bib0007","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3389\/fmicb.2015.01120","article-title":"The out-of-the-delta hypothesis:dense human populations in low-lying river deltas served as agents for the evolution of a deadly pathogen","volume":"6","author":"Boucher","year":"2015","journal-title":"Front. Microbiol."},{"key":"10.1016\/j.mbs.2017.12.004_bib0008","series-title":"Mathematical Structures of Epidemics Systems","author":"Capasso","year":"1993"},{"key":"10.1016\/j.mbs.2017.12.004_bib0009","first-page":"121","article-title":"A mathematical model for the 1973 cholera epidemic in the european mediterranean region","volume":"27","author":"Capasso","year":"1979","journal-title":"Rev Epidemiol Sante Publique"},{"key":"10.1016\/j.mbs.2017.12.004_bib0010","first-page":"4","article-title":"Vibrio spp. dans les produits de la p\u00eache:risques et pr\u00e9vention","volume":"3","author":"Cohen","year":"2007","journal-title":"Les Technologies de Laboratoires"},{"key":"10.1016\/j.mbs.2017.12.004_bib0011","series-title":"Descriptive characterization of the 2010 cholera outbreak in nigeria","first-page":"1","volume":"14","author":"Dalhat","year":"2014"},{"issue":"2","key":"10.1016\/j.mbs.2017.12.004_bib0012","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1051\/mmnp\/201712202","article-title":"Impact of hygiene, famine and environment on transmission and spread of cholera","volume":"12","author":"Dangb\u00e9","year":"2017","journal-title":"Math. Model. Nat. Phenom"},{"issue":"1","key":"10.1016\/j.mbs.2017.12.004_bib0013","doi-asserted-by":"crossref","DOI":"10.1142\/S179352451750005X","article-title":"Impact of climate factors on contact rate of vector-borne diseases: case study of malaria","volume":"10","author":"Dangb\u00e9","year":"2017","journal-title":"Int. J. Biomath."},{"key":"10.1016\/j.mbs.2017.12.004_bib0014","doi-asserted-by":"crossref","first-page":"17676","DOI":"10.1073\/pnas.0809654105","article-title":"Environmental signatures associated with cholera epidemics","volume":"105","author":"de Magny","year":"2008","journal-title":"PNAS"},{"key":"10.1016\/j.mbs.2017.12.004_bib0015","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/S0025-5564(02)00108-6","article-title":"Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission","volume":"180","author":"Driessche","year":"2002","journal-title":"Math. Biosci."},{"key":"10.1016\/j.mbs.2017.12.004_bib0016","series-title":"Rapport de capitalisation au sujet de l\u2019\u00e9pid\u00e9mie de chol\u00e9ra au Tchad, 2010","author":"Dunoyer","year":"2011"},{"key":"10.1016\/j.mbs.2017.12.004_bib0017","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1016\/j.mbs.2013.08.003","article-title":"A cholera model in a patchy environment with water and human movement","volume":"246","author":"Eisenberg","year":"2013","journal-title":"Math. Biosci."},{"key":"10.1016\/j.mbs.2017.12.004_bib0018","doi-asserted-by":"crossref","first-page":"62","DOI":"10.1051\/mmnp:2008011","article-title":"Epidemiological models and lyapunov functions","volume":"2","author":"Fall","year":"2007","journal-title":"Math. Model. Nat. Phenom."},{"key":"10.1016\/j.mbs.2017.12.004_bib0019","first-page":"1","article-title":"Influence of temperature and rainfall on the evolution of cholera epidemics in lusaka, zambia, 2003\u20132006: analysis of a time series","author":"Fern\u00e1ndez","year":"2008","journal-title":"Trans. R. Soc. Trop. Med. Hyg."},{"key":"10.1016\/j.mbs.2017.12.004_bib0020","doi-asserted-by":"crossref","first-page":"1341","DOI":"10.3201\/eid\/1509.081334","article-title":"Using satellite images of environmental changes to predict infectious disease outbreaks","volume":"15","author":"Ford","year":"2009","journal-title":"Emerging Infect. Dis."},{"key":"10.1016\/j.mbs.2017.12.004_bib0021","series-title":"Proceedings of the American Mathematical Society","first-page":"1025","article-title":"Persistence definition and their connections","volume":"109","author":"Freedman","year":"1990"},{"key":"10.1016\/j.mbs.2017.12.004_bib0022","doi-asserted-by":"crossref","first-page":"583","DOI":"10.1007\/BF02218848","article-title":"Uniform persistence and flows near a closed positively invariant set","volume":"6","author":"Freedman","year":"1994","journal-title":"J. Dyna. Dif. Eq."},{"key":"10.1016\/j.mbs.2017.12.004_bib0023","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/1742-7622-11-1","article-title":"Cholera transmission dynamic models for public health practitioners","volume":"11","author":"Fung","year":"2014","journal-title":"Emerg. Themes Epidemiol."},{"key":"10.1016\/j.mbs.2017.12.004_bib0024","doi-asserted-by":"crossref","first-page":"699","DOI":"10.1111\/j.1462-2920.2004.00601.x","article-title":"Occurrence and distribution of vibrio cholerae in the coastal environment of peru","volume":"6","author":"Gil","year":"2004","journal-title":"Environ. Microbiol."},{"key":"10.1016\/j.mbs.2017.12.004_bib0025","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3390\/ijerph14040441","article-title":"Water access, sanitation, and hygiene conditions and health outcomes among two settlement types in rural far north cameroon","volume":"14","author":"Gorham","year":"2017","journal-title":"Int. J. Environ. Res. Public Health"},{"key":"10.1016\/j.mbs.2017.12.004_bib0026","series-title":"Malnutrition as an enteric infectious disease with long-term effects on child development","first-page":"487","volume":"66","author":"Guerrant","year":"2008"},{"issue":"1","key":"10.1016\/j.mbs.2017.12.004_bib0027","first-page":"63","article-title":"Hyperinfectivity: a critical element in the ability of v. cholerae to cause epidemics?","volume":"3","author":"Hartley","year":"2006","journal-title":"PLoS Med."},{"key":"10.1016\/j.mbs.2017.12.004_bib0028","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1097\/EDE.0b013e31815c09ea","article-title":"The effect of rainfall on the incidence of cholera in bangladesh","volume":"19","author":"Hashizume","year":"2008","journal-title":"Epidemiology"},{"key":"10.1016\/j.mbs.2017.12.004_bib0029","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1023\/A:1016599411804","article-title":"A brief history of r0 and recipe for its calculation","volume":"50","author":"Heesterbeck","year":"2002","journal-title":"Acta Biotheor."},{"key":"10.1016\/j.mbs.2017.12.004_bib0030","doi-asserted-by":"crossref","first-page":"733","DOI":"10.1002\/cpa.3160380607","article-title":"Differential equation models of some parasitic infections: methods for the study of asymptotic behavior","author":"Hirsch","year":"1985","journal-title":"Commun. Pure Appl. Math."},{"key":"10.1016\/j.mbs.2017.12.004_bib0031","doi-asserted-by":"crossref","first-page":"597","DOI":"10.4269\/ajtmh.12-0721","article-title":"Environmental factors influencing epidemic cholera","volume":"89","author":"Jutla","year":"2013","journal-title":"Am. Soc. Tropical Med. Hyg."},{"key":"10.1016\/j.mbs.2017.12.004_bib0032","doi-asserted-by":"crossref","first-page":"57","DOI":"10.4269\/ajtmh.14-0613","article-title":"Factors determining water treatment behavior for the prevention of cholera in chad","volume":"93","author":"Lilje","year":"2015","journal-title":"Am. Soc. Tropical Med. Hyg."},{"key":"10.1016\/j.mbs.2017.12.004_bib0033","doi-asserted-by":"crossref","first-page":"2773","DOI":"10.1128\/AEM.69.5.2773-2785.2003","article-title":"Predictability of vibrio cholerae in chesapeake bay","volume":"69","author":"Louis","year":"2003","journal-title":"Appl. Environ. Microbiol."},{"key":"10.1016\/j.mbs.2017.12.004_bib0034","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s10884-008-9127-0","article-title":"Perturbation of a globally stable steady state and uniform persistence","volume":"21","author":"Magal","year":"2009","journal-title":"J. Dyn. Diff. Eq."},{"key":"10.1016\/j.mbs.2017.12.004_bib0035","doi-asserted-by":"crossref","first-page":"423","DOI":"10.5455\/vetworld.2011.423-428","article-title":"Vibrio cholerae","volume":"4","author":"Maheshwari","year":"2011","journal-title":"Vet. World"},{"key":"10.1016\/j.mbs.2017.12.004_bib0036","first-page":"777","article-title":"The relationship of vibiriocidal antibody titre to susceptibility to cholera in family contacts of cholera patients","volume":"38","author":"Mosley","year":"1968","journal-title":"Bull. Wld Hlth Org"},{"key":"10.1016\/j.mbs.2017.12.004_bib0037","doi-asserted-by":"crossref","unstructured":"Z. Mukandavire, S. Liao, J. Wang, H. Gaff, D.L. Smith, J.G.M. Jr., Estimating the reproductive numbers for the 2008\u20132009 cholera outbreaks in zimbabwe, PNAS (2011) 1088767\u20138772.","DOI":"10.1073\/pnas.1019712108"},{"key":"10.1016\/j.mbs.2017.12.004_bib0038","series-title":"Assessing the risk factors of cholera epidemic in the buea health district of cameroon","first-page":"1","volume":"15","author":"Nsagha","year":"2015"},{"key":"10.1016\/j.mbs.2017.12.004_bib0039","first-page":"797","article-title":"A mathematical model for the transmission dynamics of cholera with control strategy","volume":"2","author":"Ochoche","year":"2013","journal-title":"Int. J. Scie. Technol."},{"key":"10.1016\/j.mbs.2017.12.004_bib0040","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1590\/S1519-69842007000200003","article-title":"Composition and intra-annual variation of the macroinfauna in the estuarine zone of the pando stream (uruguay)","volume":"67","author":"Passadore","year":"2007","journal-title":"Braz. J. Biol"},{"key":"10.1016\/j.mbs.2017.12.004_bib0041","series-title":"Weekly epidemiological record","first-page":"305","volume":"91","author":"Pena","year":"2016"},{"issue":"5","key":"10.1016\/j.mbs.2017.12.004_bib0042","doi-asserted-by":"crossref","first-page":"1571","DOI":"10.1137\/130946058","article-title":"Asymptotic behavior and numerical simulations for an infection load-structured epidemiological models; application to the transmission of prion pathologies","volume":"74","author":"Perasso","year":"2014","journal-title":"SIAM J. Appl. Math."},{"key":"10.1016\/j.mbs.2017.12.004_bib0043","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/17513758.2014.896482","article-title":"Modelling cholera in periodic environments","volume":"1","author":"Posny","year":"2014","journal-title":"J. Biol. Dyn."},{"key":"10.1016\/j.mbs.2017.12.004_bib0044","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1093\/infdis\/jit195","article-title":"Environmental determinants of cholera outbreaks in inland africa: a systematic review of main transmission foci and propagation routes","volume":"208","author":"Rebaudet","year":"2013","journal-title":"J. Infect. Dis."},{"key":"10.1016\/j.mbs.2017.12.004_bib0045","doi-asserted-by":"crossref","first-page":"862","DOI":"10.4269\/ajtmh.2011.10-0277","article-title":"Climate variability and the outbreaks of cholera in zanzibar, east africa: a time series analysis","volume":"84","author":"Reyburn","year":"2011","journal-title":"Am. Soc. Tropical Med. Hyg."},{"key":"10.1016\/j.mbs.2017.12.004_bib0046","doi-asserted-by":"crossref","first-page":"1982","DOI":"10.2105\/AJPH.2008.151076","article-title":"Impact of drainage networks on cholera outbreaks in lusaka, zambia","volume":"99","author":"Sasaki","year":"2009","journal-title":"Am. J. Public Health"},{"key":"10.1016\/j.mbs.2017.12.004_bib0047","doi-asserted-by":"crossref","first-page":"2423","DOI":"10.1007\/s11538-012-9759-4","article-title":"Cholera models with hyperinfectivity and temporary immunity","volume":"74","author":"Shuai","year":"2012","journal-title":"Bull. Math. Biol."},{"key":"10.1016\/j.mbs.2017.12.004_bib0048","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/j.mbs.2011.09.003","article-title":"Global dynamics of cholera models with differential infectivity","volume":"234","author":"Shuai","year":"2011","journal-title":"Math. Biosci."},{"key":"10.1016\/j.mbs.2017.12.004_bib0049","first-page":"421","article-title":"Seasonal and year-to-year variations in surface salinity at the nine north-atlantic 0cean weather stations","volume":"3","author":"Taylor","year":"1980","journal-title":"Oceanol. Acta"},{"key":"10.1016\/j.mbs.2017.12.004_bib0050","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1016\/S0025-5564(00)00018-3","article-title":"Uniform persistence and permanence for non-autonomous semiflows in population biology","volume":"166","author":"Thieme","year":"2000","journal-title":"Math. Biosci."},{"key":"10.1016\/j.mbs.2017.12.004_bib0051","doi-asserted-by":"crossref","DOI":"10.1515\/9780691187655","article-title":"Mathematics in Population Biology","author":"Thieme","year":"2003"},{"key":"10.1016\/j.mbs.2017.12.004_bib0052","doi-asserted-by":"crossref","first-page":"3772","DOI":"10.1016\/j.jde.2011.01.007","article-title":"Global stability of the endemic equilibrium in infinite dimension: Lyapunov functions and positive operators","volume":"250","author":"Thieme","year":"2011","journal-title":"J. Diff. Eq."},{"key":"10.1016\/j.mbs.2017.12.004_bib0053","doi-asserted-by":"crossref","first-page":"31","DOI":"10.1016\/j.mbs.2011.04.001","article-title":"Global stability for cholera epidemic models","volume":"232","author":"Tian","year":"2011","journal-title":"Math. Biosci."},{"key":"10.1016\/j.mbs.2017.12.004_bib0054","unstructured":"Unicef, Chol\u00e9ra epid\u00e9miologie et r\u00e9ponse factsheet cameroun, Unicef."},{"key":"10.1016\/j.mbs.2017.12.004_bib0055","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.mbs.2015.06.009","article-title":"Influence of human behavior on cholera dynamics","volume":"267","author":"Wang","year":"2015","journal-title":"Math. Biosci."},{"key":"10.1016\/j.mbs.2017.12.004_bib0056","doi-asserted-by":"crossref","first-page":"501","DOI":"10.1098\/rspb.2003.2608","article-title":"An epidemiological model for west nile virus: invasion analysis and control applications","volume":"271","author":"Wonham","year":"2004","journal-title":"R. Soc."}],"container-title":["Mathematical Biosciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S002555641730411X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S002555641730411X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,12,4]],"date-time":"2019-12-04T02:25:42Z","timestamp":1575426342000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S002555641730411X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2]]},"references-count":56,"alternative-id":["S002555641730411X"],"URL":"https:\/\/doi.org\/10.1016\/j.mbs.2017.12.004","relation":{},"ISSN":["0025-5564"],"issn-type":[{"value":"0025-5564","type":"print"}],"subject":[],"published":{"date-parts":[[2018,2]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Mathematical modelling and numerical simulations of the influence of hygiene and seasons on the spread of cholera","name":"articletitle","label":"Article Title"},{"value":"Mathematical Biosciences","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.mbs.2017.12.004","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2017 Elsevier Inc. All rights reserved.","name":"copyright","label":"Copyright"}]}}