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Global dynamics of deterministic-stochastic dengue infection model including multi specific receptors via crossover effects

dc.contributor.authorRashid, Saima
dc.contributor.authorJarad, Fahd
dc.contributor.authorEl-Marouf, Sobhy A. A.
dc.contributor.authorElagan, Sayed K.
dc.contributor.authorID234808tr_TR
dc.date.accessioned2023-12-22T12:00:19Z
dc.date.available2023-12-22T12:00:19Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractDengue viruses have distinct viral regularities due to the their serotypes. Dengue can be aggravated from a simple fever in an acute infection to a presumably fatal secondary pathogen. This article investigates a deterministic-stochastic secondary dengue viral infection (SDVI) model including logistic growth and a nonlinear incidence rate through the use of piecewise fractional differential equations. This framework accounts for the fact that the dengue virus can penetrate various kinds of specific receptors. Because of the supplementary infection, the system comprises both heterologous and homologous antibody. For the deterministic case, we determine the invariant region and threshold for the aforesaid model. Besides that, we demonstrate that the suggested stochastic SDVI model yields a global and non-negative solution. Taking into consideration effective Lyapunov candidates, the sufficient requirements for the presence of an ergodic stationary distribution of the solution to the stochastic SDVI model are generated. This report basically utilizes a novel idea of piecewise differentiation and integration. This method aids in the acquisition of mechanisms, including crossover impacts. Graphical illustrations of piecewise modeling techniques for chaos challenges are demonstrated. A piecewise numerical scheme is addressed. For various cases, numerical simulations are presented.en_US
dc.identifier.citationRashid, Saima...et.al. (2023). "Global dynamics of deterministic-stochastic dengue infection model including multi specific receptors via crossover effects", AIMS Mathematics, Vol.8, No.3, pp.6466-6503.en_US
dc.identifier.doi10.3934/math.2023327
dc.identifier.endpage6503en_US
dc.identifier.issn24736988
dc.identifier.issue3en_US
dc.identifier.startpage6466en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6816
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectChaotic Attractoren_US
dc.subjectDengue Viral Modelen_US
dc.subjectItô Derivativeen_US
dc.subjectNumerical Solutionsen_US
dc.subjectStochastic-Deterministic Modelsen_US
dc.titleGlobal dynamics of deterministic-stochastic dengue infection model including multi specific receptors via crossover effectstr_TR
dc.titleGlobal Dynamics of Deterministic-Stochastic Dengue Infection Model Including Multi Specific Receptors Via Crossover Effectsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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