A fractional calculus based model for the simulation of an outbreak of dengue fever

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 Ver...

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Veröffentlicht in:Nonlinear dynamics 2013-03, Vol.71 (4), p.613-619
1. Verfasser: Diethelm, Kai
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Classical Mechanics
Computer simulation
Control
Dengue fever
Differential equations
Dynamical Systems
Engineering
Fever
Fractional calculus
Mathematical analysis
Mathematical models
Mechanical Engineering
Nonlinear differential equations
Nonlinear dynamics
Nonlinear equations
Original Paper
Outbreaks
Statistics
Vibration
Viral diseases
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Beschreibung
Zusammenfassung: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-012-0475-2