Rashid, SaimaAshraf, RehanaAsif, Qurat-Ul-AinJarad, Fahd2024-04-292024-04-292022Rashid, 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.11563-11594.15471063http://hdl.handle.net/20.500.12416/8029In 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.eninfo:eu-repo/semantics/openAccessBrownian MotionErgodicityFractal-Fractional Derivative OperatorImmune Effector Response ModelStationary DistributionArticle1911115631159410.3934/mbe.2022539