Ecological equilibrium for restrained branching random walks

DOI10.1214/105051607000000203zbMath1132.60325arXivmath/0611720OpenAlexW1977547470MaRDI QIDQ2467597

Gustavo Postal, Daniela Bertacchi, Fabio Zucca

Publication date: 28 January 2008

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

Full work available at URL: https://arxiv.org/abs/math/0611720

zbMATH Keywords

phase transitioninteracting particle systemscontact processbranching random walks

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Ecology (92D40)

Related Items (9)

The timing of life history events in the presence of soft disturbances ⋮ Persistent and susceptible bacteria with individual deaths ⋮ Approximating Critical Parameters of Branching Random Walks ⋮ On the role of Allee effect and mass migration in survival and extinction of a species ⋮ Strong Local Survival of Branching Random Walks is Not Monotone ⋮ Interacting growth processes and invariant percolation ⋮ A self-regulating and patch subdivided population ⋮ Galton-Watson processes in varying environment and accessibility percolation ⋮ Branching random walks and multi-type contact-processes on the percolation cluster of \(\mathbb{Z}^{d}\)

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• Strong Local Survival of Branching Random Walks is Not Monotone

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