Permanence for a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls

DOI10.1186/S13662-015-0426-6zbMath1351.34053OpenAlexW2146046984WikidataQ59435737 ScholiaQ59435737MaRDI QIDQ738606

Qin Yue

Publication date: 5 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0426-6

zbMATH Keywords

Beddington-DeAngelis functional responsepermanenceLeslie-Gower modelfeedback controls

Mathematics Subject Classification ID

Feedback control (93B52) Population dynamics (general) (92D25) Control problems involving ordinary differential equations (34H05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (3)

Dynamic behaviors of Lotka-Volterra predator-prey model incorporating predator cannibalism ⋮ Unnamed Item ⋮ Permanence for Leslie-Gower predator-prey system with feedback controls on time scales

Cites Work

• Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Existence and global attractivity of positive periodic solutions for a predator-prey model with modified Leslie-Gower Holling-type II schemes
• Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response
• On a mutualism model with feedback controls
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Almost periodic solution of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls
• Almost periodic solution of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response
• Permanence, extinction, and almost periodic solution of a Nicholson's blowflies model with feedback control and time delay
• Bifurcation analysis of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and strong Allee effect
• Note on the permanence of a competitive system with infinite delay and feedback controls
• Note on the persistent property of a feedback control system with delays
• Almost periodic solution of a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference
• A STOCHASTIC MODEL FOR STUDYING THE PROPERTIES OF CERTAIN BIOLOGICAL SYSTEMS BY NUMERICAL METHODS
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS

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