A global picture of the gamma-Ricker map: a flexible discrete-time model with factors of positive and negative density dependence

DOI10.1007/s11538-017-0382-2zbMath1384.92051OpenAlexW2773859968WikidataQ47299404 ScholiaQ47299404MaRDI QIDQ1742651

Eduardo Liz

Publication date: 12 April 2018

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

Full work available at URL: https://doi.org/10.1007/s11538-017-0382-2

zbMATH Keywords

stabilityextinctiongamma modelAllee effectdensity dependencediscrete-time population modelstock and recruitment

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Related Items (11)

On \(q\)-deformed logistic maps ⋮ A new flexible discrete-time model for stable populations ⋮ Global asymptotic stability of a generalization of the Pielou difference equation ⋮ Bifurcation Analysis of the γ-Ricker Population Model Using the Lambert W Function ⋮ Global exponential stability analysis for tick population model with delayed sub-linear Gamma-Ricker nonlinearities ⋮ Destabilization and chaos induced by harvesting: insights from one-dimensional discrete-time models ⋮ On the dynamics of a hyperbolic-exponential model of growth with density dependence ⋮ Clark's equation: a useful difference equation for population models, predictive control, and numerical approximations ⋮ A new formula to get sharp global stability criteria for one-dimensional discrete-time models ⋮ A note on the Lasota discrete model for blood cell production ⋮ On the gamma-logistic map and applications to a delayed neoclassical model of economic growth

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