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Local Stability of Dengue Model Using the Fractional Order System with Different Memory Effect on the Host and Vector Population

dc.contributor.authorHamdan, Nur 'Izzati
dc.contributor.authorKılıçman, Adem
dc.date.accessioned2019-09-08T11:31:10Z
dc.date.available2019-09-08T11:31:10Z
dc.date.issued2019en_US
dc.identifier.issn0354-9836
dc.identifier.issn2334-7163
dc.identifier.urihttps://hdl.handle.net/11363/1440
dc.description.abstractIn this study, we formulate a fractional order dengue model by considering different order dynamics on human and mosquito population. The order of the differential equation is associated with the index of memory. Both human and mosquito carry a different value of order to showcase the different memory effect implies to each of them in the transmission process. Local stability of the equilibria is obtained based on the threshold parameter related to the basic reproduction number; denoted by R-0. Finally, numerical simulations of the model are conducted to study the dynamical behavior of the system.en_US
dc.description.sponsorshipThe authors are very grateful for partial financial support by the Universiti Putra Malaysia providing Putra Grant GP-IPS/2018/9625000. The authors also thank the Ministry of Education Malaysia and the University Technology Mara.en_US
dc.language.isoengen_US
dc.publisherVINCA INST NUCLEAR SCI, MIHAJLA PETROVICA-ALASA 12-14 VINCA, 11037 BELGRADE. POB 522, BELGRADE, 11001, SERBIAen_US
dc.relation.isversionof10.2298/TSCI181122046Hen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectdengue feveren_US
dc.subjectfractionalen_US
dc.subjectlocal stabilityen_US
dc.subjectepidemiologyen_US
dc.subjectBACKWARD BIFURCATIONSen_US
dc.subjectTRANSMISSIONen_US
dc.subjectDYNAMICSen_US
dc.subjectDISEASEen_US
dc.subjectThermodynamicsen_US
dc.titleLocal Stability of Dengue Model Using the Fractional Order System with Different Memory Effect on the Host and Vector Populationen_US
dc.typearticleen_US
dc.relation.ispartofTHERMAL SCIENCEen_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.identifier.volume23en_US
dc.identifier.startpageS327en_US
dc.identifier.endpageS337en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US


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