Permanence and stability in non-autonomous predator-prey Lotka-Volterra systems with feedback controls

DOI10.1016/j.camwa.2009.04.014zbMath1189.34091OpenAlexW1965746375WikidataQ115580931 ScholiaQ115580931MaRDI QIDQ980035

Lin Hu, Zhi-Dong Teng, Ji-Gen Peng, Lin-Fei Nie

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.04.014

zbMATH Keywords

global stabilitypredator-preyLyapunov functionalfeedback controlpermanenceLotka-Volterra system

Mathematics Subject Classification ID

Feedback control (93B52) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (14)

Well-posedness of a ratio-dependent Lotka-Volterra system with feedback control ⋮ On a multi-delay Lotka-Volterra predator-prey model with feedback controls and prey diffusion ⋮ Extinction in a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls ⋮ Lie symmetry of the diffusive Lotka-Volterra system with time-dependent coefficients ⋮ Speed determinacy of the traveling waves for a three species time‐periodic Lotka–Volterra competition system ⋮ Global dissipativity of stochastic Lotka–Volterra system with feedback controls ⋮ Positive periodic solutions for the neutral ratio-dependent predator-prey model ⋮ Positive periodic solutions of neutral predator-prey model with Beddington-DeAngelis functional response ⋮ Feedback control effect on the Lotka-Volterra prey-predator system with discrete delays ⋮ Successive vaccination and difference in immunity of a delay SIR model with a general incidence rate ⋮ An algorithm for approximate calculation of the attainable sets of the nonlinear control systems with integral constraint on controls ⋮ Dynamical behaviour of a Lotka–Volterra competitive-competitive–cooperative model with feedback controls and time delays ⋮ Unnamed Item ⋮ Permanence in multi-species competitive systems with delays and feedback controls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost periodic solutions of \(n\)-species competitive system with feedback controls
• Delay differential equations: with applications in population dynamics
• A nonautonomous model of population growth
• Stability by Liapunov's direct method. With applications
• Almost periodic solutions of nonlinear delay population equation with feedback control
• Feedback regulation of logistic growth
• Permanence and periodic solution in competitive system with feedback controls
• Positive periodic solutions of a class of delay differential system with feedback control.
• Existence and global stability of positive periodic solution of periodic integro-differential systems with feedback controls
• The extinction in nonautonomous prey-predator Lotka-Volterra systems
• Positive periodic solutions of a class of functional differential systems with feedback controls
• The periodic predator-prey Lotka-Volterra model
• Uniform persistence and existence of strictly positive solutions to nonautonomous Lotka-Volterra competitive systems with delays
• Permanence and stability in multi-species non-autonomous Lotka-Volterra competitive systems with delays and feedback controls
• The permanence and global attractivity of Lotka--Volterra competition system with feedback controls
• Persistence and global stability for a delayed non-autonomous single species model with dispersion and feedback control
• Permanence criteria in non-autonomous predator–prey Kolmogorov systems and its applications
• Harmless Feedback Control for Permanence and Global Asymptotic Stability in Nonlinear Delay Population Equation
• ON THE PERMANENCE FOR n-SPECIES NON-AUTONOMOUS LOTKA–VOLTERRA COMPETITIVE SYSTEM WITH INFINITE DELAYS AND FEEDBACK CONTROLS
• Uniform persistence of the periodic predator-prey lotka-volterra systems

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