Extinction rate of a population under both demographic and environmental stochasticity

DOI10.1006/tpbi.1997.1336zbMath0895.92033OpenAlexW2169526599WikidataQ52244499 ScholiaQ52244499MaRDI QIDQ1383625

Yoh Iwasa, John M. Halley

Publication date: 7 September 1998

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/tpbi.1997.1336

zbMATH Keywords

environmental stochasticitycatastrophesdemographic stochasticityasymptotic rate of population extinctiondiscrete-generation population dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (8)

The effects of stochasticity on pattern formation in a space- and time-discrete predator-prey system with strong Allee effect in the prey ⋮ An extended stochastic Allee model with harvesting and the risk of extinction of the herring population ⋮ DYNAMICS OF AN INSERTION SEQUENCE INFECTION IN A SPATIALLY STRUCTURED ENVIRONMENT ⋮ Species-abundance distributions under colored environmental noise ⋮ Stochastic modelling of environmental variation for biological populations ⋮ Integrodifference models for persistence in temporally varying river environments ⋮ Extinction risk of a meta-population: aggregation approach ⋮ Extinction risk and the \(1/f\) family of noise models

Cites Work

• Unnamed Item
• Unnamed Item
• Effects of noise on some dynamical models in ecology
• Establishment probability in fluctuating environments: A branching process model
• Dynamics of metapopulations with demographic stochasticity and environmental catastrophes
• Persistence in density dependent stochastic populations
• Reduced dimensional population transition matrices: Extinction distributions from Markovian dynamics
• On the extinction of a colonizing species
• The accuracy of the diffusion approximation to the expected time to extinction for some discrete stochastic processes
• Computational Methods for Integral Equations
• On Quasi-Stationary distributions in absorbing discrete-time finite Markov chains

This page was built for publication: Extinction rate of a population under both demographic and environmental stochasticity