Solution of a dengue fever model via fractional natural decomposition and modified predictor-corrector methods
- Title
- Solution of a dengue fever model via fractional natural decomposition and modified predictor-corrector methods
- Creator
- Kumar P.; Gao W.; Veeresha P.; Erturk V.S.; Prakasha D.G.; Baskonus H.M.
- Description
- In this paper, we solved a model of a well-known infectious disease called dengue fever via fractional natural decomposition and modified Predictor-Corrector (PC) methods. A study of the dengue epidemic in the Cape Verde Islands off the coast of West Africa in 2009 has been resumed here for a better understanding of the results. The results are obtained using Liouville-Caputo and new generalized Caputo-type fractional derivatives. The numerical simulations are presented for various orders of given derivatives. Existence and uniqueness analysis of the given problem are also performed in the new generalized Caputo sense. The explored results are verified using figures. The main target of this paper is to explore the different dynamics of the given dengue fever model via two types of fractional numerical algorithms. 2024 World Scientific Publishing Company.
- Source
- International Journal of Modeling, Simulation, and Scientific Computing, Vol-15, No. 1
- Date
- 2024-01-01
- Publisher
- World Scientific
- Subject
- Dengue fever; fractional natural decomposition method; Liouville-Caputo derivative; mathematical model; modified Predictor-Corrector algorithm; new generalized Caputo derivative
- Coverage
- Kumar P., Institute for the Future of Knowledge, University of Johannesburg, P. O. Box 524, Auckland Park, 2006, South Africa; Gao W., School of Information Science and Technology, Yunnan Normal University, Yunnan, China; Veeresha P., Department of Mathematics, Christ (Deemed to Be University), Bengaluru, 560029, India; Erturk V.S., Department of Mathematics, Ondokuz Mayis University, Atakum, Samsun, 55200, Turkey; Prakasha D.G., Department of Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India; Baskonus H.M., Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey
- Rights
- Restricted Access
- Relation
- ISSN: 17939623
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Kumar P.; Gao W.; Veeresha P.; Erturk V.S.; Prakasha D.G.; Baskonus H.M., “Solution of a dengue fever model via fractional natural decomposition and modified predictor-corrector methods,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/13297.