Sensitivity analysis for the mathematical modelling of Monkey Pox Virus incorporating quarantine and public enlightenment campaign
Date
2019-08
Authors
Somma, Samuel Abu
Akinwande, Ninuola Ifeoluwa
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
In this paper sensitivity analysis was carried out for the mathematical modeling of Monkey pox
virus incorporating quarantine and public enlightenment campaign into the human population.
The model was formulated using first order ordinary differential equations. The model equation
was divided into two populations of human and rodents. There are two equilibrium points that
exist in the model; Disease Free Equilibrium (DFE) and Endemic Equilibrium (EE). The Local
and Global stabilities of Disease Free Equilibrium (DFE) were analyzed. The basic reproduction
numbers of human to human and rodent to rodent transmission was computed. The sensitivity
analysis of the Basic reproduction number with the parameters was carried out. The Disease Free
Equilibrium (DFE) is locally and globally asymptotically stable if. The graphical presentation of
the Basic reproduction number and the sensitive parameters shows that effective progression rate
from infected class to Quarantine and effective public enlightenment campaign are the most
sensitive parameters that will eradicate the disease from the population.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Sensitivity analysis, Equilibrium, Reproduction number, Public enlightenment campaign, Quarantine