Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues
dc.contributor.author | Rashid, Saima | |
dc.contributor.author | Ashraf, Rehana | |
dc.contributor.author | Asif, Qurat-Ul-Ain | |
dc.contributor.author | Jarad, Fahd | |
dc.contributor.authorID | 234808 | tr_TR |
dc.date.accessioned | 2024-04-29T12:17:22Z | |
dc.date.available | 2024-04-29T12:17:22Z | |
dc.date.issued | 2022 | |
dc.department | Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.description.abstract | In 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.citation | Rashid, 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.doi | 10.3934/mbe.2022539 | |
dc.identifier.endpage | 11594 | en_US |
dc.identifier.issn | 15471063 | |
dc.identifier.issue | 11 | en_US |
dc.identifier.startpage | 11563 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/8029 | |
dc.identifier.volume | 19 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Mathematical Biosciences and Engineering | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Brownian Motion | en_US |
dc.subject | Ergodicity | en_US |
dc.subject | Fractal-Fractional Derivative Operator | en_US |
dc.subject | Immune Effector Response Model | en_US |
dc.subject | Stationary Distribution | en_US |
dc.title | Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues | tr_TR |
dc.title | Novel Stochastic Dynamics of a Fractal-Fractional Immune Effector Response To Viral Infection Via Latently Infectious Tissues | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |