Theoretical Analysis and Numerical Simulation of the Transmission Dynamics of Monkeypox Virus: A Common Disease in Central and West Africa

doi:10.61091/jpms202413311

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Research Article | | Volume 13 Issue 3 (June, 2024) | Pages 66 - 74

Theoretical Analysis and Numerical Simulation of the Transmission Dynamics of Monkeypox Virus: A Common Disease in Central and West Africa

Fazal Dayan

Muhammad Aziz ur Rehman

Abaid ur Rehman Virk

Samiullah Salim

Department of Mathematics, School of Science University of Management and Technology Lahore 5400 Pakistan.

Under a Creative Commons license

Open Access

DOI : 10.61091/jpms202413311

Received

Jan. 15, 2024

Accepted

June 1, 2024

Published

June 30, 2024

Abstract

Monkeypox (MPX), which is similar to smallpox and cowpox, is caused by the MPX virus. It primarily appears in isolated areas in Central and West Africa, often near tropical rainforests. In this paper, a mathematical model of the MPX virus is explored and the sensitivity of the reproduction number is investigated. Two different numerical techniques, forward Euler, and nonstandard finite difference (NSFD) are constructed for solving the studied model numerically. The convergence, positivity, boundedness, and consistency of the NSFD scheme are investigated. The simulated graphs are displayed to illustrate the main attributes of the developed methodologies. The simulation results indicate that the NSFD scheme demonstrates unconditional convergence, whereas the convergence of the other two techniques is contingent upon the values of the step sizes.

Keywords

Monkeypox Virus, nonstandard finite difference, convergence, boundedness, consistency, positivity