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

Joan Saldaña
Phys. Rev. E 78, 012902 – Published 28 July 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.

  • Received 30 April 2008

DOI:https://doi.org/10.1103/PhysRevE.78.012902

©2008 American Physical Society

Authors & Affiliations

Joan Saldaña*

  • Departament d’Informàtica i Matemàtica Aplicada, Universitat de Girona, 17071-Girona, Spain

  • *joan.saldana@udg.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 78, Iss. 1 — July 2008

Reuse & Permissions
Access Options

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review E

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×