A Mathematical Model For Typhoid Fever Infection:- Efughi Mercy E.

ABSTRACT

This project work focuses on how mathematical modeling can be used to reduce the rate ol typhoid fever in Michael Okpara University of Agriculture, Umudike. From the data results, it was observed that the rate of infection was fluctuating from 2009 -2012 but increased geometrically in 2013.We discovered that the prevalence of typhoid fever infection in MOUAU is high. Also, it was noticed that the prevalence is high between 15-44 years of age. In a bid to reduce the infectivity rate, an S.E.I.R model was developed. The entire population was divided into four compartments namely: susceptible (S), exposed (E), infective (I) and recoveries (R). The model was solved using ordinary differential equation and numerical approach. The equilibrium points of the model system are presented and their stability is investigated.