An epidemiological MSEIR model described by the Caputo fractional derivative
| dc.contributor.author | Almeida, Ricardo | por |
| dc.contributor.author | Cruz, Artur M. C.Brito da | por |
| dc.contributor.author | Martins, Natália | por |
| dc.contributor.author | Monteiro, M. Teresa T. | por |
| dc.date.accessioned | 2019-06-19T11:28:14Z | |
| dc.date.available | 2019-06-19T11:28:14Z | |
| dc.date.issued | 2019-06 | |
| dc.date.updated | 2019-06-19T10:54:11Z | |
| dc.description.abstract | A fractional MSEIR model is presented, involving the Caputo fractional derivative. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease free equilibrium is given. Finally a numerical simulation, using Matlab based on optimization techniques, of the varicella outbreak among Shenzhen school children, China, is carried out. | por |
| dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
| dc.description.sponsorship | R. Almeida, A.M.C. Brito da Cruz and N. Martins were supported by Portuguese funds through the CIDMA - Center for Research and Development in Mathematics and Applications, and the Portuguese Foundation for Science and Technology (FCT-Fundação para a Ciência e a Tecnologia), within project UID/MAT/04106/2013; M. T. Monteiro by COMPETE: POCI-01-0145- FEDER-007043 and FCT-Fundação para a Ciência e a Tecnologia within the Project Scope: UID/CEC/00319/2013. | por |
| dc.distribution | international | por |
| dc.identifier.doi | 10.1007/s40435-018-0492-1 | por |
| dc.identifier.eissn | 2195-2698 | |
| dc.identifier.issn | 2195-268X | |
| dc.identifier.uri | https://hdl.handle.net/1822/60583 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Springer | por |
| dc.relation | info:eu-repo/grantAgreement/FCT/5876/147206/PT | por |
| dc.relation | info:eu-repo/grantAgreement/FCT/5876/147280/PT | por |
| dc.rights | openAccess | por |
| dc.subject | Fractional calculus | por |
| dc.subject | Fractional differential equations | por |
| dc.subject | Epidemics | por |
| dc.subject | MSEIR model | por |
| dc.subject | Local stability | por |
| dc.title | An epidemiological MSEIR model described by the Caputo fractional derivative | por |
| dc.type | article | por |
| dspace.entity.type | Publication | en |
| oaire.citationEndPage | 784 | por |
| oaire.citationIssue | 2 | por |
| oaire.citationStartPage | 776 | por |
| oaire.citationVolume | 7 | por |
| sdum.journal | International Journal of Dynamics and Control | por |
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