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Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues

dc.contributor.authorRashid, Saima
dc.contributor.authorAshraf, Rehana
dc.contributor.authorAsif, Qurat-Ul-Ain
dc.contributor.authorJarad, Fahd
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-04-29T12:17:22Z
dc.date.available2024-04-29T12:17:22Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, the global complexities of a stochastic virus transmission framework featuring adaptive response and Holling type II estimation are examined via the non-local fractal-fractional derivative operator in the Atangana-Baleanu perspective. Furthermore, we determine the existence-uniqueness of positivity of the appropriate solutions. Ergodicity and stationary distribution of non-negative solutions are carried out. Besides that, the infection progresses in the sense of randomization as a consequence of the response fluctuating within the predictive case’s equilibria. Additionally, the extinction criteria have been established. To understand the reliability of the findings, simulation studies utilizing the fractal-fractional dynamics of the synthesized trajectory under the Atangana-Baleanu-Caputo derivative incorporating fractional-order α and fractal-dimension ℘ have also been addressed. The strength of white noise is significant in the treatment of viral pathogens. The persistence of a stationary distribution can be maintained by white noise of sufficient concentration, whereas the eradication of the infection is aided by white noise of high concentration.en_US
dc.identifier.citationRashid, Saima;...et.al. (2022). "Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues", Mathematical Biosciences and Engineering, Vol.19, No.11, pp.11563-11594.en_US
dc.identifier.doi10.3934/mbe.2022539
dc.identifier.endpage11594en_US
dc.identifier.issn15471063
dc.identifier.issue11en_US
dc.identifier.startpage11563en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/8029
dc.identifier.volume19en_US
dc.language.isoenen_US
dc.relation.ispartofMathematical Biosciences and Engineeringen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBrownian Motionen_US
dc.subjectErgodicityen_US
dc.subjectFractal-Fractional Derivative Operatoren_US
dc.subjectImmune Effector Response Modelen_US
dc.subjectStationary Distributionen_US
dc.titleNovel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissuestr_TR
dc.titleNovel Stochastic Dynamics of a Fractal-Fractional Immune Effector Response To Viral Infection Via Latently Infectious Tissuesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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