| Autor: |
Rasha M. Yaseen, Nidal F. Ali, Ahmed A. Mohsen, Aziz Khan, Thabet Abdeljawad |
| Jazyk: |
angličtina |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100978- (2024) |
| Druh dokumentu: |
article |
| ISSN: |
2666-8181 |
| DOI: |
10.1016/j.padiff.2024.100978 |
| Popis: |
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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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