Applications of Fractional Calculus to Epidemiological Models

被引：14

作者：

Skwara, Urszula ^{[1
]}

Martins, Jose ^{[2
]}

Ghaffari, Peyman ^{[1
]}

Aguiar, Maira ^{[1
]}

Boto, Joao ^{[1
]}

Stollenwerk, Nico ^{[1
]}

机构：

[1] Univ Lisbon, Ctr Matemat & Aplicacoes Fundamentais, Lisbon, Portugal

[2] Inst Politecn Leiria, Dept Math, Escola Superior Technol Gestao, Leiria, Portugal

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B | 2012年 / 1479卷

关键词：

fractional derivative; superdiffusion; stochastic processes;

D O I：

10.1063/1.4756403

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Epidemiological spreading does not only happen from person to neighbouring person but often over wide distances, when infected but asymptomatic persons travel and carry infection to others over wide distances. Superdiffusion has been suggested to model such spreading in spatially restriced contact networks, i.e. there is still a notion of geographical distance, but spreading happens with high probability proportional to large distances. From fractional calculus several ways of describing superdiffusion are know. Here we investigate the representation in Fourier space and which is easily generalizable to higher dimensional space in order to compare with stochastic models of epidemiological spreading.

引用

页码：1339 / 1342

页数：4

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