Fractional Multi-Step Differential Transformed Method for Approximating a Fractional Stochastic SIS Epidemic Model with Imperfect Vaccination

Makaleler > Tam Makale · 2019

Yazarlar: Salah Abuasad, Ahmet YILDIRIM, Ishak Hashim, Samsul Ariffin Abdul Karim, J. F. Gomez-Aguilar

International Journal of Environmental Research and Public Health, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2019, cilt 16, ss 973-973

DOI: 10.3390/ijerph16060973

Özet

In this paper, we applied a fractional multi-step differential transformed method, which is a generalization of the multi-step differential transformed method, to find approximate solutions to one of the most important epidemiology and mathematical ecology, fractional stochastic SIS epidemic model with imperfect vaccination, subject to appropriate initial conditions. The fractional derivatives are described in the Caputo sense. Numerical results coupled with graphical representations indicate that the proposed method is robust and precise which can give new interpretations for various types of dynamical systems.

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