A Fractional Order Model Studying the Role of Negative and Positive Attitudes towards Vaccination

Isa Abdullahi Baba, Fathalla A. Rihan, Usa Wannasingha Humphries, Badamasi Bashir Mikailu

Research output: Contribution to journalArticlepeer-review

Abstract

A fractional-order model consisting of a system of four equations in a Caputo–Fabrizio sense is constructed. This paper investigates the role of negative and positive attitudes towards vaccination in relation to infectious disease proliferation. Two equilibrium points, i.e., disease-free and endemic, are computed. Basic reproduction ratio is also deducted. The existence and uniqueness properties of the model are established. Stability analysis of the solutions of the model is carried out. Numerical simulations are carried out and the effects of negative and positive attitudes towards vaccination areclearly shown; the significance of the fractional-order from the biological point of view is also established. The positive effect of increasing awareness, which in turn increases positive attitudes towards vaccination, is also shown numerically.The results show that negative attitudes towards vaccination increase infectious disease proliferation and this can only be limited by mounting awareness campaigns in the population. It is also clear from our findings that the high vaccine hesitancy during the COVID-19 pandemicisan important problem, and further efforts should be madeto support people and give them correct information about vaccines.

Original languageEnglish
Article number2135
JournalVaccines
Volume10
Issue number12
DOIs
Publication statusPublished - Dec 2022

Keywords

  • awareness
  • Caputo–Fabrizio
  • existence and uniqueness
  • fractional-order
  • mathematical model
  • vaccination

ASJC Scopus subject areas

  • Immunology
  • Pharmacology
  • Drug Discovery
  • Infectious Diseases
  • Pharmacology (medical)

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