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Continuous-time formulation of reaction-diffusion processes on heterogeneous metapopulations

We present the derivation of the continuous-time equations governing the limit dynamics of discrete-time reaction-diffusion processes defined on heterogeneous metapopulations. We show that, when a rigorous time limit is performed, the lack of an epidemic threshold in the spread of infections is not limited to metapopulations with a scale-free architecture, as it has been predicted from dynamical equations in which reaction and diffusion occur sequentially in time

© Physical Review E, 2008, vol. 78, núm. 1, p. 012902

American Physical Society

Author: Saldaña Meca, Joan
Date: 2008
Abstract: We present the derivation of the continuous-time equations governing the limit dynamics of discrete-time reaction-diffusion processes defined on heterogeneous metapopulations. We show that, when a rigorous time limit is performed, the lack of an epidemic threshold in the spread of infections is not limited to metapopulations with a scale-free architecture, as it has been predicted from dynamical equations in which reaction and diffusion occur sequentially in time
Format: application/pdf
ISSN: 1539-3755 (versió paper)
1550-2376 (versió electrònica)
Document access: http://hdl.handle.net/10256/7616
Language: eng
Publisher: American Physical Society
Collection: Reproducció digital del document publicat a: http://dx.doi.org/10.1103/PhysRevE.78.012902
Articles publicats (D-IMA)
Is part of: © Physical Review E, 2008, vol. 78, núm. 1, p. 012902
Rights: Tots els drets reservats
Subject: Epidèmies -- Models matemàtics
Epidemics -- Mathematical models
Equacions diferencials estocàstiques
Stochastic differential equations
Title: Continuous-time formulation of reaction-diffusion processes on heterogeneous metapopulations
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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