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Mathematical modelling of the impact of poverty on cholera outbreaks

dc.rights.licenseopenen_US
dc.contributor.authorTCHATAT, Daudel
dc.contributor.authorKOLAYE, Gabriel Guilsou
hal.structure.identifierBordeaux population health [BPH]
dc.contributor.authorALIOUM, Amadou
dc.contributor.authorBOWONG, Samuel
dc.contributor.authorMAÏROUSGOU, Céline
dc.date.accessioned2023-12-13T07:54:28Z
dc.date.available2023-12-13T07:54:28Z
dc.date.issued2023-10-18
dc.identifier.issn0170-4214en_US
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/186584
dc.description.abstractEnIn this paper, we propose and analyze a coupled disease-economic model to study the impact of poverty on cholera outbreaks. We consider the stock of capital per effective units of labor, reflecting the effect of the stock of capital on cholera outbreak and transmission. The system has positive bounded solutions. We show that the disease-free equilibrium is globally asymptotically stable whenever ℛ01 ≤ 1 while when ℛ01 > 1 , the disease-free equilibrium is unstable. The sensitivity analysis of the model has been performed in order to determine the impact of related parameters on outbreak severity. We further study various cases for the investment rate upon critical value of the investment in order to describe the effect of poverty on the infected individuals over time. The results we obtained show that increasing of the stock of capital per effective units of labor and the implementation of strategies combining awareness programs and therapeutic treatments will reduce the proportion of the infected population. To verify our analytical results, the numerical simulations on the model are performed.
dc.language.isoENen_US
dc.subject.enAwareness programs
dc.subject.enDisease-economic
dc.subject.enLabor
dc.subject.enPoverty
dc.subject.enStock
dc.title.enMathematical modelling of the impact of poverty on cholera outbreaks
dc.title.alternativeMath Method Appl Scien_US
dc.typeArticle de revueen_US
dc.identifier.doi10.1002/mma.9727en_US
dc.subject.halSciences du Vivant [q-bio]/Santé publique et épidémiologieen_US
bordeaux.journalMathematical Methods in the Applied Sciencesen_US
bordeaux.hal.laboratoriesBordeaux Population Health Research Center (BPH) - UMR 1219en_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.institutionINSERMen_US
bordeaux.teamBIOSTAT_BPHen_US
bordeaux.peerReviewedouien_US
bordeaux.inpressnonen_US
hal.identifierhal-04339453
hal.version1
hal.date.transferred2023-12-13T07:54:33Z
hal.popularnonen_US
hal.audienceInternationaleen_US
hal.exporttrue
dc.rights.ccPas de Licence CCen_US
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Methods%20in%20the%20Applied%20Sciences&rft.date=2023-10-18&rft.eissn=0170-4214&rft.issn=0170-4214&rft.au=TCHATAT,%20Daudel&KOLAYE,%20Gabriel%20Guilsou&ALIOUM,%20Amadou&BOWONG,%20Samuel&MA%C3%8FROUSGOU,%20C%C3%A9line&rft.genre=article


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