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A novel numerical dynamics of fractional derivatives involving singular and nonsingular kernels: designing a stochastic cholera epidemic model

dc.contributor.authorRashid, Saima
dc.contributor.authorJarad, Fahd
dc.contributor.authorAlsubaie, Hajid
dc.contributor.authorAly, Ayman A.
dc.contributor.authorAlotaibi, Ahmed
dc.contributor.authorID234808tr_TR
dc.date.accessioned2023-11-22T12:27:19Z
dc.date.available2023-11-22T12:27:19Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this research, we investigate the direct interaction acquisition method to create a stochastic computational formula of cholera infection evolution via the fractional calculus theory. Susceptible people, infected individuals, medicated individuals, and restored individuals are all included in the framework. Besides that, we transformed the mathematical approach into a stochastic model since it neglected the randomization mechanism and external influences. The descriptive behaviours of systems are then investigated, including the global positivity of the solution, ergodicity and stationary distribution are carried out. Furthermore, the stochastic reproductive number for the system is determined while for the case Rs0 > 1, some sufficient condition for the existence of stationary distribution is obtained. To test the complexity of the proposed scheme, various fractional derivative operators such as power law, exponential decay law and the generalized Mittag-Leffler kernel were used. We included a stochastic factor in every case and employed linear growth and Lipschitz criteria to illustrate the existence and uniqueness of solutions. So every case was numerically investigated, utilizing the newest numerical technique. According to simulation data, the main significant aspects of eradicating cholera infection from society are reduced interaction incidence, improved therapeutic rate, and hygiene facilities.en_US
dc.identifier.citationRashid, Saima...et.al. (2022). "A novel numerical dynamics of fractional derivatives involving singular and nonsingular kernels: designing a stochastic cholera epidemic model", Aims Mathematics, Vol.8, No. 2, pp. 3484-3522.en_US
dc.identifier.doi10.3934/math.2023178
dc.identifier.endpage3522en_US
dc.identifier.issn2473-6988
dc.identifier.issue2en_US
dc.identifier.startpage3484en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6574
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofAims Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCholera Epidemic Modelen_US
dc.subjectFractional Derivative Operatoren_US
dc.subjectNumerical Solutionsen_US
dc.subjectIto Derivativeen_US
dc.subjectErgodic And Stationary Distributionen_US
dc.titleA novel numerical dynamics of fractional derivatives involving singular and nonsingular kernels: designing a stochastic cholera epidemic modeltr_TR
dc.titleA Novel Numerical Dynamics of Fractional Derivatives Involving Singular and Nonsingular Kernels: Designing a Stochastic Cholera Epidemic Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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