A Model Study of The Impact of Enlightenment Rate on The Dynamics of Typhoid Fever
GEORGE, Isobeye *
Department of Mathematics and Statistics, Ignatius Ajuru University of Education, Rumuolumeni, Port Harcourt, Rivers State, Nigeria.
ILE, Vivian Ikoruba
Department of Family Medicine, Rivers State University, Rivers State University Teaching Hospital, Port Harcourt, Rivers State, Nigeria.
NKUTURUM, Christiana
Department of Mathematics, Rivers State University, Port Harcourt, Rivers State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
In this study, a mathematical investigation of the effect of enlightenment rate on the spread of typhoid fever is considered, using a system of nonlinear first order ordinary differential equations and a MATLAB ODE45 numerical scheme. The result shows that a decrease in vaccination rate significantly increases the size of the susceptible () class and the response functions, or thereby heightening the tendency for the disease to be endemic. If then the typhoid infection will spread throughout the population, but if then the infection will not be able to take hold and will eventually die out. Furthermore, it was shown that, the basic reproduction number has the tendency to reveal faster if a disease will result in an epidemic than the effective reproduction number. Finally, as enlightenment rates approach zero, it was observed that, over time, the disease will result in an epidemic. It is therefore recommended that enlightenment rate of the exposed, enlightenment rate to go for treatment and enlightenment rate to go for vaccination should be taken seriously by policy makers in order to stem the spread of typhoid.
Keywords: Typhoid fever, basic reproduction number, effective reproduction number, epidemic, mathematical model