Basic epidemic model of dengue transmission using the fractional order differential equations

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dc.authorscopusid57202868012
dc.authorscopusid6602783265
dc.contributor.authorIzzati Hamdan, Nur
dc.contributor.authorKilicman, Adem
dc.date.accessioned2024-09-11T19:57:46Z
dc.date.available2024-09-11T19:57:46Z
dc.date.issued2019
dc.departmentİstanbul Gelişim Üniversitesien_US
dc.description.abstractDengue is normally emerging in tropical and subtropical countries and now has become a serious health problem. In Malaysia, dengue is considered endemic for the past few years. A reliable mathematical model of dengue epidemic is crucial to provide some means of interventions in controlling the spread of the disease. Many mathematical models have been proposed and analyzed in the literature, but very little of them used fractional order derivative in analyzing the dengue transmission. In this paper, a study on a basic fractional order epidemic model of dengue transmission is conducted using the SIR-SI model, including the aquatic phase of the vector. The population size of the human is assumed to be constant. The threshold quantity R0 is attained by the next generation matrix method. The preliminary result of the study is presented. It has shown that the disease-free equilibrium is locally asymptotically stable when R0 < 1, and unstable when R0 > 1. In other words, the dengue disease is eliminated if R0 < 1, and it approaches a positive endemic equilibrium if R0 > 1. Finally, some numerical results are presented based on the real data in Malaysia in 2016. © 2019 Malaysian Abstracting and Indexing System. All rights reserved.en_US
dc.description.sponsorshipMinistry of Higher Education, Malaysia, MOHE; Universiti Putra Malaysia, (GP-IPS/2018/9625000); Universiti Teknologi MARA, UiTMen_US
dc.description.sponsorshipThis work is supported by the Ministry of Higher Education Malaysia and Universiti Teknologi MARA (UiTM). This work is also partially funded by the Universiti Putra Malaysia providing Putra Grant GP-IPS/2018/9625000.en_US
dc.identifier.doi10.22452/mjs.sp2019no1.1
dc.identifier.endpage18en_US
dc.identifier.issn1394-3065en_US
dc.identifier.scopus2-s2.0-85069730857en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage1en_US
dc.identifier.urihttps://doi.org/10.22452/mjs.sp2019no1.1
dc.identifier.urihttps://hdl.handle.net/11363/8350
dc.identifier.volume38en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherMalaysian Abstracting and Indexing Systemen_US
dc.relation.ispartofMalaysian Journal of Scienceen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240903_Gen_US
dc.subjectDengue; Epidemic; Fractional order; Reproduction number; Stabilityen_US
dc.titleBasic epidemic model of dengue transmission using the fractional order differential equationsen_US
dc.typeConference Objecten_US

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