Title of article
Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate
Author/Authors
Adekunle ، Bashiru Kehinde Department of Statistics - Osun State University , Kayode ، Kolawole Mutairu Department of Mathematical Sc. - Osun State University , Adetola ، Ojurongbe Taiwo Department of Statistics - Osun State University , Lawal ، Olaosebikan Mutiu Department of Mathematical Sc. - Osun State University , Olawale ، Adeboye Nureni Department of Statistics - Osun State University , Abiodun ، Afolabi Habeeb Department of Statistics - Osun State University
From page
1
To page
12
Abstract
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.
Keywords
Typhoid fever , Saturated Incident Rate , Sensitivity analysis , stability
Journal title
Mathematics and Computational Sciences
Journal title
Mathematics and Computational Sciences
Record number
2766164
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