Theoretical Analysis and Numerical Simulation of the Transmission Dynamics of Monkeypox Virus: A Common Disease in Central and West Africa | [Journal of Pioneering Medical Sciences • 2024]

Author(s):

1. Fazal Dayan: Department of Mathematics, School of Science University of Management and Technology Lahore 5400,,Pakistan

2. Muhammad Aziz ur Rehman: Department of Mathematics, School of Science University of Management and Technology Lahore 5400,,Pakistan

3. Abaid ur Rehman Virk: Department of Mathematics, School of Science University of Management and Technology Lahore 5400,,Pakistan

4. Samiullah Salim: Department of Mathematics, School of Science University of Management and Technology Lahore 5400,,Pakistan

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.

Page(s): 66-74

DOI: 10.61091/jpms202413311

Published: Journal: Journal of Pioneering Medical Sciences, Volume: 13, Issue: 3, Year: 2024

Keywords:

Consistency , Convergence , Boundedness , positivity , Monkeypox virus , nonstandard finite difference

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