Phys. Rev. E 78, 012902 (2008) [4 pages]Continuous-time formulation of reaction-diffusion processes on heterogeneous metapopulationsReceived 30 April 2008; published 28 July 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.78.012902
DOI:
10.1103/PhysRevE.78.012902
PACS:
87.23.−n, 89.75.Hc, 89.75.Fb
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