Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis
In this study, the authors proposed a nonlinear deterministic model and stability analysis for the transmission dynamics of chewing khat. The model’s solution is proved to be positive and bounded, and the basic reproduction number (R0) is calculated using the next-generation matrix method. Following...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/3844885 |
| _version_ | 1826825665970700288 |
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| author | Abayneh Kebede Fantaye Zerihun Kinfe Birhanu |
| author_facet | Abayneh Kebede Fantaye Zerihun Kinfe Birhanu |
| author_sort | Abayneh Kebede Fantaye |
| collection | DOAJ |
| description | In this study, the authors proposed a nonlinear deterministic model and stability analysis for the transmission dynamics of chewing khat. The model’s solution is proved to be positive and bounded, and the basic reproduction number (R0) is calculated using the next-generation matrix method. Following that, the authors have looked at the local and global stability of the model’s khat-free and endemic equilibrium points. When R0<1, the chewing khat-free equilibrium point is locally and globally asymptotically stable, whereas when R0>1, the endemic equilibrium point is locally and globally asymptotically stable. The simulation results demonstrate the analytical results. |
| first_indexed | 2024-04-11T03:50:10Z |
| format | Article |
| id | doaj.art-dc152cf8a94145f3ac8b603f96671d7b |
| institution | Directory Open Access Journal |
| issn | 1687-0042 |
| language | English |
| last_indexed | 2025-02-16T07:59:58Z |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj.art-dc152cf8a94145f3ac8b603f96671d7b2025-02-03T05:57:59ZengWileyJournal of Applied Mathematics1687-00422022-01-01202210.1155/2022/3844885Chewing Khat Transmission Dynamics: A Mathematical Model and Stability AnalysisAbayneh Kebede Fantaye0Zerihun Kinfe Birhanu1Debre Tabor UniversityHawassa UniversityIn this study, the authors proposed a nonlinear deterministic model and stability analysis for the transmission dynamics of chewing khat. The model’s solution is proved to be positive and bounded, and the basic reproduction number (R0) is calculated using the next-generation matrix method. Following that, the authors have looked at the local and global stability of the model’s khat-free and endemic equilibrium points. When R0<1, the chewing khat-free equilibrium point is locally and globally asymptotically stable, whereas when R0>1, the endemic equilibrium point is locally and globally asymptotically stable. The simulation results demonstrate the analytical results.http://dx.doi.org/10.1155/2022/3844885 |
| spellingShingle | Abayneh Kebede Fantaye Zerihun Kinfe Birhanu Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis Journal of Applied Mathematics |
| title | Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis |
| title_full | Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis |
| title_fullStr | Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis |
| title_full_unstemmed | Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis |
| title_short | Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis |
| title_sort | chewing khat transmission dynamics a mathematical model and stability analysis |
| url | http://dx.doi.org/10.1155/2022/3844885 |
| work_keys_str_mv | AT abaynehkebedefantaye chewingkhattransmissiondynamicsamathematicalmodelandstabilityanalysis AT zerihunkinfebirhanu chewingkhattransmissiondynamicsamathematicalmodelandstabilityanalysis |