A qualitative analysis of a Mycoplasma genitalium epidemiological model

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dc.contributor.authorAlmeida, Ricardopor
dc.contributor.authorMonteiro, M. Teresa T.por
dc.contributor.authorVenturino, Eziopor
dc.contributor.authorMachado, Luíspor
dc.date.accessioned2024-02-28T16:59:06Z
dc.date.available2024-02-28T16:59:06Z
dc.date.issued2021-11
dc.description.abstractThe objective of the article is to present a qualitative analysis of a mathematical model for the spread of a sexually transmitted infection caused by Mycoplasma genitalium. Recent investigations revealed that this pathogen is becoming resistant to the use of macrolides and can turn into a superbug in the next few years. We present an epidemiological model to describe the spread of the disease. The equilibrium points are computed, and their local and global stability are studied. In order to make the mathematical problem more realistic, we propose two different optimal control problems that establish a balance between the number of infected individuals and the use of macrolides. Several numerical illustrations regarding the solutions of the proposed problems will be provided.por
dc.description.sponsorshipR. Almeida is supported by funds through CIDMA-Center for Research and Development in Mathematics and Applications, and Fundação para a Ciência e a Tecnologia (FCT), within project UIDB/04106/2020. M.T.T. Monteiro is supported by FCT - Fundação para a Ciência e a Tecnologia, within the Project Scope: UIDB/00319/2020. L. Machado acknowledges Fundação para a Ciência e a Tecnologia (FCT) and COMPETE 2020 program for the financial support to the project UIDB/00048/2020por
dc.distributioninternationalpor
dc.identifier.articlenumbere1199por
dc.identifier.citationAlmeida R, Monteiro MTT, Venturino E, Machado L. A qualitative analysis of a Mycoplasma genitalium epidemiological model. Comp and Math Methods. 2021; 3(6):e1199. doi:10.1002/cmm4.1199por
dc.identifier.doi10.1002/cmm4.1199por
dc.identifier.eissn1748-6718por
dc.identifier.issn1748-670Xpor
dc.identifier.urihttps://hdl.handle.net/1822/89149
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherWileypor
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F04106%2F2020/PTpor
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00319%2F2020/PTpor
dc.relationinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00048%2F2020/PTpor
dc.relation.publisherversionhttps://onlinelibrary.wiley.com/doi/10.1002/cmm4.1199por
dc.rightsopenAccesspor
dc.subjectepidemiological modelpor
dc.subjectoptimizationpor
dc.subjectoptimal controlpor
dc.subjectepidemiological modelspor
dc.subjectMycoplasma genitaliumpor
dc.subjectstabilitypor
dc.subject.fosEngenharia e Tecnologia::Engenharia Médicapor
dc.subject.odsSaúde de qualidadepor
dc.subject.wosScience & Technologypor
dc.titleA qualitative analysis of a Mycoplasma genitalium epidemiological modelpor
dc.typearticle
dspace.entity.typePublicationen
oaire.citationIssue6por
oaire.citationVolume3por
oaire.versionAMpor
sdum.journalComputational and Mathematical Methods in Medicinepor

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