Coexistence in host-pathogen systems

DOI10.1016/j.spa.2007.07.008zbMath1141.60384OpenAlexW2157839828MaRDI QIDQ927923

Nicolas. Lanchier, Richard T. Durrett

Publication date: 10 June 2008

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2007.07.008

zbMATH Keywords

branching processcontact processbiased voter modelpathogen

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (8)

Stochastic Spatial Models of Host-Pathogen and Host-Mutualist Interactions II ⋮ Commensal pathogens as a source of a coexistence mechanism ⋮ Coexistence of grass, saplings and trees in the Staver-Levin forest model ⋮ A stochastic spatial model for the sterile insect control strategy ⋮ Contact and voter processes on the infinite percolation cluster as models of host-symbiont interactions ⋮ Complete convergence theorem for a two-level contact process ⋮ Coexistence for a multitype contact process with seasons ⋮ Coexistence in stochastic spatial models

Cites Work

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• A simple proof of the stability criterion of Gray and Griffeath
• Branching random walks. I
• Additive and cancellative interacting particle systems
• Particle systems and reaction-diffusion equations
• Stochastic spatial models of host-pathogen and host-mutualist interactions. I
• Nearest-neighbor Markov interaction processes on multidimensional lattices
• Mutual invadability implies coexistence in spatial models
• Stochastic Spatial Models of Host-Pathogen and Host-Mutualist Interactions II

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