PERMANENCE FOR A DISCRETE NICHOLSON'S BLOWFLIES MODEL WITH FEEDBACK CONTROL AND DELAY

DOI10.1142/S1793524508000369zbMath1163.39011OpenAlexW2168873735MaRDI QIDQ3608707

Yong-Hong Fan, Lin-Lin Wang

Publication date: 5 March 2009

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524508000369

zbMATH Keywords

global asymptotic stabilityfeedback controlpermanencediscrete Nicholson's blowflies model

Mathematics Subject Classification ID

Feedback control (93B52) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Related Items (9)

Permanence, extinction, and almost periodic solution of a Nicholson's blowflies model with feedback control and time delay ⋮ Feedback control variables have no influence on the permanence of a discrete \(n\)-species Schoener competition system with time delays ⋮ Permanence and existence of periodic solutions for Nicholson's blowflies model with feedback control and delay on time scales ⋮ Permanence and almost periodic solutions of a discrete ratio-dependent Leslie system with time delays and feedback controls ⋮ Robust adaptive stabilization of linear time-invariant dynamic systems by using fractional-order holds and multirate sampling controls ⋮ Convergence and permanence of a delayed Nicholson's blowflies model with feedback control ⋮ Permanence for a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls ⋮ Feedback control variables have no influence on the permanence of a discrete \(N\)-species cooperation system ⋮ Permanence and global attractivity of discrete predator-prey system with Hassell-Varley type functional response

Cites Work

• Existence and global attractivity of positive periodic solutions of functional differential equations with feedback control
• Uniform persistence and periodic solutions for a discrete predator-prey system with delays
• Permanence of a single species discrete model with feedback control and delay
• Feedback regulation of a logistic growth with variable coefficients

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