A general theory of coexistence and extinction for stochastic ecological communities

DOI10.1007/s00285-021-01606-1zbMath1466.92226arXiv2007.09025OpenAlexW3157420935WikidataQ113905527 ScholiaQ113905527MaRDI QIDQ2030259

Dang H. Nguyen, Alexandru Hening, Peter L. Chesson

Publication date: 7 June 2021

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09025

zbMATH Keywords

stochastic differential equationsextinctionpopulation dynamicscoexistenceauxiliary variablesstochastic difference equationsenvironmental fluctuations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Ecology (92D40) Stochastic difference equations (39A50)

Related Items (12)

Random Switching in an Ecosystem with Two Prey and One Predator ⋮ A classification of the dynamics of three-dimensional stochastic ecological systems ⋮ Variation in environmental stochasticity dramatically affects viability and extinction time in a predator-prey system with high prey group cohesion ⋮ Heteroclinic cycling and extinction in May-Leonard models with demographic stochasticity ⋮ Stochastic nutrient-plankton models ⋮ Dynamic analysis of a stochastic eco‐epidemiological model with disease in predators ⋮ A stochastic variant of replicator dynamics in zero-sum games and its invariant measures ⋮ Stationary distributions of persistent ecological systems ⋮ Strong stochastic persistence of some Lévy-driven Lotka-Volterra systems ⋮ Fixation time of the rock-paper-scissors model: rigorous results in the well-mixed setting ⋮ Impacts of demographic and environmental stochasticity on population dynamics with cooperative effects ⋮ Dynamics of a multi-species lottery competition model in stochastic environments

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