Kehinde Bashiru - Department of Statistics, Osun State University, Osogbo, Nigeria
Mutairu Kolawole - Department of Mathematical Sc. Osun State University, Osogbo
Taiwo Ojurongbe - Department of Statistics, Osun State University, Nigeria
Mutiu Olaosebikan - Department of Mathematical Sc. Osun State University, Nigeria
Nureni Adeboye - Department of Statistics, Osun State University, Osogbo, Nigeria
Habeeb Afolabi - Department of Statistics, Osun State University, Osogbo, Nigeria.

In this study, a dynamic model for typhoid fever incorporating protection against infection in the presence of saturated incidence rate is proposed. The existence and uniqueness solution is proved in order to ascertain the existence of the model. Stability analysis of endemic and disease free equilibrium was carried out to investigate the dynamic behavior of the transmission of the disease in a given population. Sensitivity analysis was also carried out to detect the impact of the parameters of the reproductive number and which parameters should focus as a control intervention. Numerical simulation of the model was carried out and the result is presented graphically, the result shows that an increase in the probability of the sources of protection and sociology factor dictate low disease prevalence in a population.

Typhoid fever, Saturated Incident Rate, Sensitivity analysis, stability