Abstract: we developed a mathematical model using a set of ordinary differential equations. This model was designed to investigate the transmission dynamics of typhoid fever, encompassing interventions such as enlightenment campaigns, treatment, and vaccination, all of which serve as crucial control measures. The findings of this study, shows the most effective way to control typhoid disease within a population is to use an effective educational enlightenment campaign on the radio, television, newspapers, in churches, mosques, and even in schools on the importance of individuals using safe water and better food hygiene practices. A typhoid patient should be encouraged to seek treatment at all times in order to protect their life and lower the disease's fatality rate. Finally, immunization of the vulnerable population should be encouraged, as prevention is preferable to cure. Sensitivity analysis was then carried out to determine which parameters that should be targeted by control intervention strategies of which the result shows that an increase in the enlightenment rate, treatment rate and rate of vaccination leads to a reduction in the prevalence of the disease. Finally, numerical simulation of the model was carried out and result shows that an increase in protection leads to low disease prevalence in a population.
Keywords: Mathematical Model, Ordinary Differential Equations, Transmission Dynamics, Typhoid Fever, Enlightenment Campaigns, Treatment, Vaccination, Control Measures, Educational Campaign, Water Hygiene, Food Hygiene, Disease Prevention, Sensitivity Analysis, Intervention Strategies, Disease Prevalence, Numerical Simulation, Protection.
Title: MATHEMATICAL MODELING AND SIMULATION FOR CONTROLLING TYPHOID FEVER DISEASE
Author: Abah Roseline Toyin
International Journal of Recent Research in Mathematics Computer Science and Information Technology
ISSN 2350-1022
Vol. 10, Issue 1, April 2023 - September 2023
Page No: 46-56
Paper Publications
Website: www.paperpublications.org
Published Date: 11-August-2023