On the Dynamical Analysis of a Deterministic Typhoid Fever Infection Model

Abstract

In this paper, we develop a deterministic model of typhoid fever. The existence and uniqueness of solutions of the model were examined by actual solutions. Mathematical analysis is carried out to determine the transmission dynamics of typhoid in a community. We conduct local stability analysis for the model. The results show that the disease-free equilibrium which is locally asymptotically stable if R0 < 1 and unstable if R0 >1.