Control of chaotic behaviour and prevention of extinction using constant proportional feedback

DOI10.1016/j.nonrwa.2011.07.005zbMath1231.93057OpenAlexW1996628789MaRDI QIDQ660780

Pablo Carmona, Daniel Franco Leis

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.005

zbMATH Keywords

global asymptotic stabilityunimodal mapsAllee effectcontrol of chaosdiscrete population modelsproportional feedback methodstabilization strategies

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Stability theory for difference equations (39A30)

Related Items (12)

Adaptive threshold harvesting and the suppression of transients ⋮ Adaptive limiter control of unimodal population maps ⋮ On stabilization of equilibria using predictive control with and without pulses ⋮ A comparison of six methods for stabilizing population dynamics ⋮ On target-oriented control of Hénon and Lozi maps ⋮ Semi-global persistence and stability for a class of forced discrete-time population models ⋮ Preventing noise-induced ecological shifts: stochastic sensitivity analysis and control ⋮ Global stability of an age-structured population model ⋮ Dissipative feedback control and synchronization of Julia sets of the complex standard family ⋮ Stabilization of difference equations with noisy proportional feedback control ⋮ Dynamics of the discrete Seno population model: combined effects of harvest timing and intensity on population stability ⋮ Stabilizing Populations with Adaptive Limiters: Prospects and Fallacies

Cites Work

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• Chaos and population disappearances in simple ecological models

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