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Understanding COVID-19 propagation: a comprehensive mathematical model with Caputo fractional derivatives for Thailand
- Source :
- Frontiers in Applied Mathematics and Statistics, Vol 10 (2024)
- Publication Year :
- 2024
- Publisher :
- Frontiers Media S.A., 2024.
-
Abstract
- This research introduces a sophisticated mathematical model for understanding the transmission dynamics of COVID-19, incorporating both integer and fractional derivatives. The model undergoes a rigorous analysis, examining equilibrium points, the reproduction number, and feasibility. The application of fixed point theory establishes the existence of a unique solution, demonstrating stability in the model. To derive approximate solutions, the generalized Adams-Bashforth-Moulton method is employed, further enhancing the study's analytical depth. Through a numerical simulation based on Thailand's data, the research delves into the intricacies of COVID-19 transmission, encompassing thorough data analysis and parameter estimation. The study advocates for a holistic approach, recommending a combined strategy of precautionary measures and home remedies, showcasing their substantial impact on pandemic mitigation. This comprehensive investigation significantly contributes to the broader understanding and effective management of the COVID-19 crisis, providing valuable insights for shaping public health strategies and guiding individual actions.
Details
- Language :
- English
- ISSN :
- 22974687
- Volume :
- 10
- Database :
- Directory of Open Access Journals
- Journal :
- Frontiers in Applied Mathematics and Statistics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.147851d7cb54629991b343f2f91b7a7
- Document Type :
- article
- Full Text :
- https://doi.org/10.3389/fams.2024.1374721