Stabilizing Populations with Adaptive Limiters: Prospects and Fallacies

DOI10.1137/13092277XzbMath1301.92062OpenAlexW2008603203WikidataQ60468293 ScholiaQ60468293MaRDI QIDQ2876678

Frank M. Hilker, Daniel Franco Leis

Publication date: 19 August 2014

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/13092277x

zbMATH Keywords

stabilizationchaos controlpopulation oscillationsalternative attractor

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Dynamical systems in control (37N35)

Related Items

Bifurcation Sequences in a Discontinuous Piecewise-Smooth Map Combining Constant-Catch and Threshold-Based Harvesting Strategies ⋮ Adaptive threshold harvesting and the suppression of transients ⋮ Perception of Fundamental Values and Financial Market Dynamics: Mathematical Insights from a 2D Piecewise Linear Map ⋮ A comparison of six methods for stabilizing population dynamics ⋮ Impact of Dispersal on the Total Population Size, Constancy and Persistence of Two-patch Spatially-separated Populations ⋮ Semi-global persistence and stability for a class of forced discrete-time population models ⋮ Degenerate Period Adding Bifurcation Structure of One-Dimensional Bimodal Piecewise Linear Maps ⋮ Stabilization with target oriented control for higher order difference equations ⋮ Hydra effect and paradox of enrichment in discrete-time predator-prey models ⋮ Enhancing population stability with combined adaptive limiter control and finding the optimal harvesting-restocking balance

Cites Work

• Unnamed Item
• Unnamed Item
• Global stabilization of periodic orbits using a proportional feedback control with pulses
• Control of chaotic behaviour and prevention of extinction using constant proportional feedback
• Controlling chaos in ecology: from deterministic to individual-based models
• Commodity markets, price limiters and speculative price dynamics
• Stabilizing biological populations and metapopulations through adaptive limiter control
• Control of chaos: methods and applications. I: Methods
• Target-oriented chaos control
• Piecewise-smooth dynamical systems. Theory and applications
• Harvest timing and its population dynamic consequences in a discrete single-species model
• Stochastic analogues of deterministic single-species population models
• Adaptive limiter control of unimodal population maps
• Order of events matter: comparing discrete models for optimal control of species augmentation
• The importance of census times in discrete-time growth-dispersal models
• BIFURCATIONS IN FLAT-TOPPED MAPS AND THE CONTROL OF CARDIAC CHAOS
• FROM CHAOS TO ORDER — PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS
• Adapting Predictive Feedback Chaos Control for Optimal Convergence Speed
• Global stabilization of fixed points using predictive control
• Handbook of Chaos Control
• Chaos and population disappearances in simple ecological models