The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation

In this study, a cholera model with asymptomatic carriers was examined. A Holling type-II functional response function was used to describe disease transmission. For analyzing the dynamical behavior of cholera disease, a fractional-order model was developed. First, the positivity and boundedness of...

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Bibliographic Details
Published in:Partial Differential Equations in Applied Mathematics
Main Authors: Rasha M. Yaseen, Nidal F. Ali, Ahmed A. Mohsen, Aziz Khan, Thabet Abdeljawad
Format: Article
Language:English
Published: Elsevier 2024-12-01
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Online Access:http://www.sciencedirect.com/science/article/pii/S2666818124003644
Description
Summary:In this study, a cholera model with asymptomatic carriers was examined. A Holling type-II functional response function was used to describe disease transmission. For analyzing the dynamical behavior of cholera disease, a fractional-order model was developed. First, the positivity and boundedness of the system’s solutions were established. The local stability of the equilibrium points was also analyzed. Second, a Lyapunov function was used to construct the global asymptotic stability of the system for both endemic and disease-free equilibrium points. Finally, numerical simulations and sensitivity analysis were carried out using matlab software to demonstrate the accuracy and validate the obtained results.
ISSN:2666-8181