Stochastic spatial models of host-pathogen and host-mutualist interactions. I

DOI10.1214/105051605000000782zbMath1096.92046arXivmath/0603335OpenAlexW2059583758WikidataQ111263348 ScholiaQ111263348MaRDI QIDQ2494588

Claudia Neuhauser, 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/0603335

zbMATH Keywords

epidemic models, voter model, contact process, symbiont

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (9)

Stochastic Spatial Models of Host-Pathogen and Host-Mutualist Interactions II ⋮ Commensal pathogens as a source of a coexistence mechanism ⋮ The timing of life history events in the presence of soft disturbances ⋮ Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions ⋮ Coexistence in host-pathogen systems ⋮ Complete convergence theorem for a two-level contact process ⋮ Coexistence for a multitype contact process with seasons ⋮ Stochastic PDEs on graphs as scaling limits of discrete interacting systems ⋮ Coexistence in stochastic spatial models

Cites Work

• Oriented percolation in two dimensions
• Ergodic theorems for the multitype contact process
• Multicolor particle systems with large threshold and range
• Contact interactions on a lattice
• Ergodic theorems for weakly interacting infinite systems and the voter model
• The importance of being discrete (and spatial)
• Coexistence results for some competition models
• A model for spatial conflict
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