Artikel ; Online: Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues.
Mathematical biosciences and engineering : MBE
2022 Band 19, Heft 11, Seite(n) 11563–11594
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. ... ...
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. |
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Mesh-Begriff(e) | Computer Simulation ; Fractals ; Humans ; Models, Biological ; Reproducibility of Results ; Virus Diseases |
Sprache | Englisch |
Erscheinungsdatum | 2022-09-20 |
Erscheinungsland | United States |
Dokumenttyp | Journal Article |
ZDB-ID | 2265126-3 |
ISSN | 1551-0018 ; 1551-0018 |
ISSN (online) | 1551-0018 |
ISSN | 1551-0018 |
DOI | 10.3934/mbe.2022539 |
Datenquelle | MEDical Literature Analysis and Retrieval System OnLINE |
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