Dynamics of a non-autonomous density-dependent predator–prey model with Beddington–DeAngelis type

DOI10.1142/S1793524516500509zbMath1342.34066WikidataQ115522823 ScholiaQ115522823MaRDI QIDQ2809292

Haiyin Li, Zhikun She

Publication date: 27 May 2016

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

zbMATH Keywords

Beddington-DeAngelis functional responsepermanenceuniqueness of periodic solutionsglobal attractiveness

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Globally exponentially stable periodic solution in a general delayed predator-prey model under discontinuous prey control strategy ⋮ Hopf bifurcation analysis in a turbidostat model with Beddington–DeAngelis functional response and discrete delay ⋮ Stability and Hopf Bifurcation of a Delayed Density-Dependent Predator–Prey System with Beddington–DeAngelis Functional Response

Cites Work

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• Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response
• Dynamics of a nonautonomous predator--prey system with the Beddington-DeAngelis functional response
• Dynamics of a density-dependent stage-structured predator-prey system with Beddington-DeAngelis functional response
• GLOBAL ANALYSIS OF A HARVESTED PREDATOR–PREY MODEL INCORPORATING A CONSTANT PREY REFUGE
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• PERSISTENCE IN A RATIO-DEPENDENT PREDATOR-PREY-RESOURCE MODEL WITH STAGE STRUCTURE FOR PREY
• Bifurcation Analysis of a Predator-Prey System with Nonmonotonic Functional Response

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