Survival and extinction in a locally regulated population

From MaRDI portal
Publication:1431555

DOI10.1214/aoap/1075828051zbMath1043.92030OpenAlexW2081002417MaRDI QIDQ1431555

Alison M. Etheridge

Publication date: 10 June 2004

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

Full work available at URL: https://doi.org/10.1214/aoap/1075828051




Related Items (31)

Coalescing directed random walks on the backbone of a 1 +1-dimensional oriented percolation cluster converge to the Brownian webSpatial growth processes with long range dispersion: microscopics, mesoscopics and discrepancy in spread rateSpatial birth-and-death processes with a finite number of particlesExtinction threshold in the spatial stochastic logistic model: space homogeneous caseCompetitive or weak cooperative stochastic Lotka-Volterra systems conditioned on non-extinc\-tionAn interacting particle model with compact hierarchical structureCompetition on \(\mathbb{Z}^d\) driven by branching random walkLooking forwards and backwards: dynamics and genealogies of locally regulated populationsOn a repulsion-diffusion equation with immigrationQuasi-stationary distributions and population processesErgodic behavior of locally regulated branching populationsA multiscale maximum entropy moment closure for locally regulated space-time point process models of population dynamicsA simple Markovian individual-based model as a means of understanding forest dynamicsFrom Individual Stochastic Processes to Macroscopic Models in Adaptive EvolutionPopulation Dynamics and Random GenealogiesDamage segregation at fissioning may increase growth rates: a superprocess modelModelling evolution in a spatial continuumEcological equilibrium for restrained branching random walksCoexistence in locally regulated competing populations and survival of branching annihilating random walkSurvival and complete convergence for a spatial branching system with local regulationA microscopic probabilistic description of a locally regulated population and macroscopic approximationsAsymptotic behavior of a metapopulation modelThe branching process with logistic growthUnifying evolutionary dynamics: from individual stochastic processes to macroscopic modelsProbability of fixation under weak selection: a branching process unifying approachExponential ergodicity for general continuous-state nonlinear branching processesA white noise approach to evolutionary ecologyQuasi-stationary distributions and diffusion models in population dynamicsTrait-dependent branching particle systems with competition and multiple offspringFluctuation limits of a locally regulated population and generalized Langevin equationsSOME INEQUALITIES FOR THEORETICAL SPATIAL ECOLOGY



Cites Work


This page was built for publication: Survival and extinction in a locally regulated population