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

Salah Abuasad, Ahmet Yildirim, Ishak Hashim, Samsul Ariffin Abdul Karim, J. F. Gómez-Aguilar

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
JournalInternational journal of environmental research and public health
Volume16
Issue number6
DOIs
Publication statusPublished - 18 Mar 2019

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Vaccination
Ecology
Epidemiology

Keywords

  • differential transformed method
  • fractional calculus
  • imperfect vaccination
  • multi-step differential transformed method
  • stochastic SIS epidemic model

ASJC Scopus subject areas

  • Public Health, Environmental and Occupational Health
  • Health, Toxicology and Mutagenesis

Cite this

Fractional Multi-Step Differential Transformed Method for Approximating a Fractional Stochastic SIS Epidemic Model with Imperfect Vaccination. / Abuasad, Salah; Yildirim, Ahmet; Hashim, Ishak; Abdul Karim, Samsul Ariffin; Gómez-Aguilar, J. F.

In: International journal of environmental research and public health, Vol. 16, No. 6, 18.03.2019.

Research output: Contribution to journalArticle

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