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

被引：327

作者：

Diethelm, Kai ^{[1
]}

机构：

[1] Tech Univ Carolo Wilhelmina Braunschweig, Inst Computat Math, D-38106 Braunschweig, Germany

来源：

NONLINEAR DYNAMICS | 2013年 / 71卷 / 04期

关键词：

Dengue fever; Mathematical model; Epidemiology; Fractional calculus; Caputo derivative;

D O I：

10.1007/s11071-012-0475-2

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

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.

引用

页码：613 / 619

页数：7

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