title: Continuous-time formulation of reaction-diffusion processes on heterogeneous metapopulations.
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.
authors.affiliation: Departament d'Informàtica i Matemàtica Aplicada, Universitat de Girona, Girona, Spain. joan.saldana@udg.edu
authors.forename: Joan
authors.initials: J
authors.lastname: Saldaña