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Reaction-Superdiffusion Systems in Epidemiology, an Application of Fractional Calculus
Author(s) -
Nico Stollenwerk,
João Pedro Boto,
Theodore E. Simos,
George Psihoyios,
Ch. Tsitouras
Publication year - 2009
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.3241397
Subject(s) - fractional calculus , computer science , calculus (dental) , mathematics , medicine , dentistry
Spatially extended stochastic processes in epidemiology lead to classical reaction‐diffusion process, when infection spreads only locally. This notion can be generalized using fractional derivatives, especially fractional Laplacian operators, leading to Lévy flights and sub‐ or super‐diffusion. Especially super‐diffusion is a more realistic mechanism of spreading epidemics than ordinary diffusion.

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