Abstract:
Shigellosis is one of the most common diarrhea diseases causing lots of morbidity and mortality
in developing countries. Shigellosis can occur at any age but it has particularly violence for
babies and children. Mathematical modeling is the act of using mathematics to solve real life
problems. The objective of this study is to develop and analyze a deterministic mathematical
model of Shigellosis disease dynamics by using data from Sude health office. The total
population in this model is sub-divided in to six compartments, namely; Susceptible (S), Exposed
(E), Carrier(C), Infected (I) ,Recovered(R) and Bacterial concentration (B).Some parameters
such as immunity loss rate(α) and recovery rate of the carrier(ω) are also taken from related
published articles. The study analyzed the qualitative behavior of the model, like the invariant
region, existence of equilibrium points (disease free and endemic equilibrium), basic
reproduction number and their stabilities (local as well as global stability).In the study we
demonstrated that the disease free equilibrium is locally asymptotically stable if the basic
reproduction number is less than 1, and also the endemic equilibrium exists if the basic
reproduction number is greater than 1.In order to check the effect of some parameters in the
expansion as well as in the control of Shigellosis disease, we used Maple 18 software. The result
of numerical simulation shows that reducing contact rate of susceptible to environment(
