EXPLORING THE DYNAMICS OF MONKEYPOX: A FRACTIONAL ORDER EPIDEMIC MODEL APPROACH

Isa Abdullahi Baba, Evren Hincal, Fathalla A. Rihan

Research output: Contribution to journalArticlepeer-review

Abstract

We present a mathematical model employing nonlinear fractional differential equations to investigate the transmission of disease from rodents to humans. The existence and uniqueness of the model’s solutions are established through Banach contraction maps, and the local asymptotic stability of equilibrium solutions is confirmed. We calculate a critical parameter, the basic reproduction number, which reflects secondary infection rates. Numerical simulations illustrate dynamic changes over time, showcasing that our model provides a more comprehensive representation of the biological system compared to classical models.

Original languageEnglish
Pages (from-to)32-44
Number of pages13
JournalJournal of Applied Mathematics and Computational Mechanics
Volume23
Issue number1
DOIs
Publication statusPublished - 2024

Keywords

  • Banach contraction mapping
  • basic reproduction number
  • disease transmission
  • fractional differential equations
  • numerical simulations
  • rodents

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Mechanical Engineering
  • Computational Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'EXPLORING THE DYNAMICS OF MONKEYPOX: A FRACTIONAL ORDER EPIDEMIC MODEL APPROACH'. Together they form a unique fingerprint.

Cite this