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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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003644 |
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| author | Rasha M. Yaseen Nidal F. Ali Ahmed A. Mohsen Aziz Khan Thabet Abdeljawad |
| author_facet | Rasha M. Yaseen Nidal F. Ali Ahmed A. Mohsen Aziz Khan Thabet Abdeljawad |
| author_sort | Rasha M. Yaseen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-85ccff45f8324600aafbc51a2d9fcacf |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-85ccff45f8324600aafbc51a2d9fcacf2024-12-13T11:05:49ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-0112100978The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and SimulationRasha M. Yaseen0Nidal F. Ali1Ahmed A. Mohsen2Aziz Khan3Thabet Abdeljawad4Department of biomedical Eng., Al-Khawarzmi College of Engineering, University of Baghdad, Baghdad, IraqDepartment of Medical Instrumentation Techniques Engineering, Electrical Engineering Technical College, Middle Technical University, Baghdad, IraqDepartment of Mathematics, College of Education for Pure Science (Ibn Al-Haitham) University of Baghdad, Baghdad, Iraq; Department of Mathematics, Open Education College, Iraq; Corresponding author at: Department of Mathematics, College of Education for Pure Science (Ibn Al-Haitham) University of Baghdad, Baghdad, Iraq.Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586, Riyadh, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586, Riyadh, Saudi Arabia; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences Universitu, Medusa 0204, South Africa; Center for Applied Mathematics and Bioinformatics (CAMB), Gulf University for Science and Technology, 32093, Hawally, KuwaitIn 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.http://www.sciencedirect.com/science/article/pii/S2666818124003644Cholera modelFractional-orderStability analysisSensitive analysis |
| spellingShingle | Rasha M. Yaseen Nidal F. Ali Ahmed A. Mohsen Aziz Khan Thabet Abdeljawad The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation Partial Differential Equations in Applied Mathematics Cholera model Fractional-order Stability analysis Sensitive analysis |
| title | The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation |
| title_full | The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation |
| title_fullStr | The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation |
| title_full_unstemmed | The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation |
| title_short | The modeling and mathematical analysis of the fractional-order of Cholera disease: Dynamical and Simulation |
| title_sort | modeling and mathematical analysis of the fractional order of cholera disease dynamical and simulation |
| topic | Cholera model Fractional-order Stability analysis Sensitive analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003644 |
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