Ergodic behavior of locally regulated branching populations

DOI10.1214/105051606000000745zbMath1125.60112arXivmath/0509612OpenAlexW3104658231MaRDI QIDQ2455053

Anton Wakolbinger, Martin Hutzenthaler

Publication date: 22 October 2007

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

Full work available at URL: https://arxiv.org/abs/math/0509612

zbMATH Keywords

extinctioninteracting diffusionsergodic behaviorbranching populationslocal competition

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Population dynamics (general) (92D25) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (12)

Continuous-state branching processes with competition: duality and reflection at infinity ⋮ A splitting method for SDEs with locally Lipschitz drift: illustration on the FitzHugh-Nagumo model ⋮ Differentiability of semigroups of stochastic differential equations with H\"older-continuous diffusion coefficients ⋮ Propagation of chaos and the many-demes limit for weakly interacting diffusions in the sparse regime ⋮ Costly defense traits in structured populations ⋮ Asymptotic regimes for the partition into colonies of a branching process with emigration ⋮ Approximate filtering via discrete dual processes ⋮ Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients ⋮ Optimal filtering and the dual process ⋮ Modelling evolution in a spatial continuum ⋮ Survival and complete convergence for a spatial branching system with local regulation ⋮ Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients

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