Mean extinction time in predator-prey model

DOI10.1007/s10955-010-0049-yzbMath1202.92086OpenAlexW2008794946WikidataQ115603732 ScholiaQ115603732MaRDI QIDQ605098

Matt Parker, Alex Kamenev

Publication date: 23 November 2010

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-010-0049-y

zbMATH Keywords

extinctionLotka-Volterraindividual-based modeling

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Ecology (92D40)

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Cites Work

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• The effects of refuges on predator-prey interactions: A reconsideration
• Stabilizing dispersal delays in predator-prey metapopulation models.
• Spatial instabilities within the diffusive Lotka-Volterra system: Individual-based simulation results
• The stability of predator\,-\,prey systems subject to the Allee effects
• Extinction Times for Birth-Death Processes: Exact Results, Continuum Asymptotics, and the Failure of the Fokker--Planck Approximation
• Handbook of stochastic methods for physics, chemistry and the natural sciences.

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