Individual versus cluster recoveries within a spatially structured population

DOI10.1214/105051605000000764zbMath1091.60034arXivmath/0603331OpenAlexW3103656288MaRDI QIDQ2494586

L. Belhadji, Nicolas. Lanchier

Publication date: 29 June 2006

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603331

zbMATH Keywords

random walkcontact processepidemic modelsRichardson's modelrescaling argumentcluster recoveryindividual recovery

Mathematics Subject Classification ID

Epidemiology (92D30) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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Cites Work

• A simple proof of the stability criterion of Gray and Griffeath
• Contact interactions on a lattice
• Dependent random graphs and spatial epidemics
• The importance of being discrete (and spatial)
• On the role of social clusters in the transmission of infectious diseases.
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• The critical contact process dies out
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