Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2024.100978

Authors: Rasha M. Yaseen, Nidal F. Ali, Ahmed A. Mohsen, Aziz Khan, Thabet Abdeljawad