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Dynamical behavior of a stochastic highly pathogenic avian influenza A (HPAI) epidemic model via piecewise fractional differential technique

dc.contributor.authorAl-Qureshi, Maysaa
dc.contributor.authorRashid, Saima
dc.contributor.authorJarad, Fahd
dc.contributor.authorAlharthi, Mohammed Shaaf
dc.contributor.authorID234808tr_TR
dc.date.accessioned2023-12-07T08:36:17Z
dc.date.available2023-12-07T08:36:17Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this research, we investigate the dynamical behaviour of a HPAI epidemic system featuring a half-saturated transmission rate and significant evidence of crossover behaviours. Although simulations have proposed numerous mathematical frameworks to portray these behaviours, it is evident that their mathematical representations cannot adequately describe the crossover behaviours, particularly the change from deterministic reboots to stochastics. Furthermore, we show that the stochastic process has a threshold number Rs0 that can predict pathogen extermination and mean persistence. Furthermore, we show that if Rs0 > 1, an ergodic stationary distribution corresponds to the stochastic version of the aforementioned system by constructing a sequence of appropriate Lyapunov candidates. The fractional framework is expanded to the piecewise approach, and a simulation tool for interactive representation is provided. We present several illustrated findings for the system that demonstrate the utility of the piecewise estimation technique. The acquired findings offer no uncertainty that this notion is a revolutionary viewpoint that will assist mankind in identifying nature.en_US
dc.identifier.citationAl-Qureshi, Maysaa;...et.al. "Dynamical behavior of a stochastic highly pathogenic avian influenza A (HPAI) epidemic model via piecewise fractional differential technique", AIMS Mathematics, Vol8, No.1, pp.1737-1756.en_US
dc.identifier.doi10.3934/math.2023089
dc.identifier.endpage1756en_US
dc.identifier.issn24736988
dc.identifier.issue1en_US
dc.identifier.startpage1737en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6753
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAtangana-Baleanu Operatoren_US
dc.subjectErgodicity And Stationary Distributionen_US
dc.subjectExtinctionen_US
dc.subjectHPAI Epidemic Modelen_US
dc.subjectPiecewise Numerical Schemeen_US
dc.titleDynamical behavior of a stochastic highly pathogenic avian influenza A (HPAI) epidemic model via piecewise fractional differential techniquetr_TR
dc.titleDynamical Behavior of a Stochastic Highly Pathogenic Avian Influenza a (Hpai) Epidemic Model Via Piecewise Fractional Differential Techniqueen_US
dc.typeArticleen_US
dspace.entity.typePublication

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