Square root identities for harvested Beverton-Holt models

DOI10.1016/j.jtbi.2022.111199zbMath1497.91218OpenAlexW4282981905MaRDI QIDQ2676028

Jerzy A. Filar, Sabrina H. Streipert

Publication date: 27 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2022.111199

zbMATH Keywords

single speciesfisheriesmaximum sustainable yieldBeverton-HoltBarramundiPella-Tomlinsonsquare root identitythreshold-risk

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Environmental economics (natural resource models, harvesting, pollution, etc.) (91B76) Applications of difference equations (39A60)

Cites Work

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• Optimal harvesting policy for the Beverton-Holt model
• Relationship between exploitation, oscillation, MSY and extinction
• Optimal escapement in stage-structured fisheries with environmental stochasticity
• On the growth of populations with narrow spread in reproductive age. I. General theory and examples
• The effect of periodic habitat fluctuations on a nonlinear insect population model
• Resonant population cycles in temorally fluctuating habitats
• Bifurcations and hydra effects in Bazykin's predator-prey model
• Global Dynamics of Some Periodically Forced, Monotone Difference Equations
• Non-Linear State Space Modelling of Fisheries Biomass Dynamics by Using Metropolis-Hastings within-Gibbs Sampling
• An Inductive Proof of Descartes' Rule of Signs

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