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Stochastic dynamics of the fractal-fractional Ebola epidemic model combining a fear and environmental spreading mechanism

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dc.contributor.author Rashid, Saima
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-01-26T07:56:03Z
dc.date.available 2024-01-26T07:56:03Z
dc.date.issued 2023
dc.identifier.citation Rashis, S.; Jarad, F. (2023). "Stochastic dynamics of the fractal-fractional Ebola epidemic model combining a fear and environmental spreading mechanism", AIMS Mathematics, Vol.8, No.2, pp.3634-3675. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7005
dc.description.abstract Recent Ebola virus disease infections have been limited to human-to-human contact as well as the intricate linkages between the habitat, people and socioeconomic variables. The mechanisms of infection propagation can also occur as a consequence of variations in individual actions brought on by dread. This work studies the evolution of the Ebola virus disease by combining fear and environmental spread using a compartmental framework considering stochastic manipulation and a newly defined non-local fractal-fractional (F-F) derivative depending on the generalized Mittag-Leffler kernel. To determine the incidence of infection and person-to-person dissemination, we developed a fear-dependent interaction rate function. We begin by outlining several fundamental characteristics of the system, such as its fundamental reproducing value and equilibrium. Moreover, we examine the existence-uniqueness of non-negative solutions for the given randomized process. The ergodicity and stationary distribution of the infection are then demonstrated, along with the basic criteria for its eradication. Additionally, it has been studied how the suggested framework behaves under the F-F complexities of the Atangana-Baleanu derivative of fractional-order ρ and fractal-dimension τ. The developed scheme has also undergone phenomenological research in addition to the combination of nonlinear characterization by using the fixed point concept. The projected findings are demonstrated through numerical simulations. This research is anticipated to substantially increase the scientific underpinnings for understanding the patterns of infectious illnesses across the globe. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2023183 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Ebola Virus Disease tr_TR
dc.subject Extinction tr_TR
dc.subject Fractal-Fractional Differential Operators tr_TR
dc.subject Qualitative Analysis tr_TR
dc.subject Stochastic Analysis tr_TR
dc.title Stochastic dynamics of the fractal-fractional Ebola epidemic model combining a fear and environmental spreading mechanism tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 3634 tr_TR
dc.identifier.endpage 3675 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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