The accuracy of Bartlett's small-fluctuation approximation for stochastic-difference-equation population models

DOI10.1016/0025-5564(85)90057-4zbMath0597.92017OpenAlexW2040931598MaRDI QIDQ1079529

Stephen P. Ellner

Publication date: 1985

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(85)90057-4

zbMATH Keywords

truncated Taylor seriesBartlett's approximationexistence of stationary solutionssmall-fluctuation approximationstationary momentsstochastic-difference equation population models

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Population dynamics (general) (92D25) Stochastic analysis (60H99)

Related Items

An uncertain life: Demography in random environments

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recruitment variability and age structure in harvested animal populations
• Production models for nonlinear stochastic age-structured fisheries
• A general linear theory for the variance of the yield from fish stocks
• ESS germination strategies in randomly varying environments. I. Logistic- type models
• Analysis of an age-structured fishery model
• The sensitivity of age-structured populations to environmental variability
• Niche overlap and invasion of competitors in random environments. I. Models without demographic stochasticity
• ON THEORETICAL MODELS FOR COMPETITIVE AND PREDATORY BIOLOGICAL SYSTEMS
• THE PROPERTIES OF A STOCHASTIC MODEL FOR TWO COMPETING SPECIES
• A comparison of theoretical and empirical results for some stochastic population models
• Density-dependent selection in a random environment: An evolutionary process that can maintain stable population dynamics
• A species near its equilibrium size in a fluctuating environment can evolve a lower intrinsic rate of increase
• Optimal Discounted Stochastic Control for Diffusion Processes