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
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DOI：
10.1007/s11071-012-0475-2
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发表时间：
2013-03-01
影响因子：
5.6
通讯作者：
Diethelm, Kai
中科院分区：
文献类型：
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作者：
Diethelm, Kai
我们提出了一个新的数学模型的登革热疫情的动态模拟。我们的模型不同于经典模型，因为它涉及非线性微分方程的分数阶，而不是整数阶。使用2009年佛得角群岛疫情的统计数据，我们证明了我们的模型能够提供与真实的数据非常吻合的数值结果。
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.