ON THE EXISTENCE OF A STOCHASTIC MODEL OF TYPHOID FEVER

Abstract

In this work a stochastic model is developed and analyzed for the dynamics of Typhoid fever. The model includes susceptible, vaccinated, infected, carrier and recovered individuals. The model used in this work is based on a deterministic model. The deterministic model is transformed into a stochastic model and solved numerically using MATLAB. It is shown that the model satisfies the conditions for existence and uniqueness of solution. The simulation result also shows that increased vaccination rate will lead to Typhoid fever reduction and possible extinction.

Keywords and phrases: Stochastic model, typhoid fever, transition probability, Wiener process, vaccination.