Sensitivity analysis of Typhoid Fever model with Saturated Incidence rate.

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 equili...

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Bibliographic Details
Main Authors: Kehinde Bashiru, Mutairu Kolawole, Taiwo Ojurongbe, Mutiu Olaosebikan, Nureni Adeboye, Habeeb Afolabi
Format: Article
Language:English
Published: Qom University of Technology 2024-03-01
Series:Mathematics and Computational Sciences
Subjects:
Online Access:https://mcs.qut.ac.ir/article_706421_250dbf939d0ff6d548d344a9bef76f21.pdf
Description
Summary: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.
ISSN:2717-2708