A fractional calculus based model for the simulation of an outbreak of dengue fever
- We propose a new mathematical model for the simulation of the dynamics of a dengue fever outbreak. Our model differs from the classical model in that it involves nonlinear differential equations of fractional, not integer, order. Using statistics from the 2009 outbreak of the disease in the Cape Verde islands, we demonstrate that our model is capable of providing numerical results that agree very well with the real data.
Author: | Kai Diethelm |
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URN: | urn:nbn:de:bvb:863-opus-20644 |
Persistent identifier: | https://doi.org/10.1007/s11071-012-0475-2 |
Parent Title (English): | Nonlinear Dynamics |
Document Type: | Article |
Language: | English |
Year of publication: | 2013 |
Publishing Institution: | Hochschule für Angewandte Wissenschaften Würzburg-Schweinfurt |
Release Date: | 2022/07/20 |
Tag: | dengue fever; disease simulation |
Volume: | 71 |
First Page: | 613 |
Last Page: | 619 |
Comments: | Accepted version des Artikels. Published source: Diethelm, K. A fractional calculus based model for the simulation of an outbreak of dengue fever. Nonlinear Dyn 71, 613–619 (2013). https://doi.org/10.1007/s11071-012-0475-2 |
Open access colour: | Grün (Zweitveröffentlichung) |