A case study of fractional-order varicella virus model to nonlinear dynamics strategy for control and prevalence

• Published in: Nonlinear engineering Vol. 14; no. 1; pp. 243 - 53
• Main Authors: Nisar, Kottakkaran Sooppy, Farman, Muhammad, Ghannam, Manal, Hincal, Evren, Sambas, Aceng
• Format: Journal Article
• Language: English
• Published: Berlin De Gruyter 28.03.2025; Walter de Gruyter GmbH
• Subjects: Chicken pox; Error analysis; Fixed points (mathematics); Fractal geometry; Fractals; fractal–fractional operator; Nonlinear dynamics; Operators (mathematics); Parameter sensitivity; Polynomials; qualitative analysis; Sensitivity analysis; Ulam–Hyers stability; varicella–zoster virus; Viruses

The purpose of this work is to construct and evaluate a dynamical susceptible–vaccinated–infected–recovered model for the propagation of the varicella virus in Jordan using existing epidemiological data. We use the fractal–fractional derivative in the Caputo sense to investigate the dynamical aspect...