Bifurcations and Dynamics of a Predator–Prey Model with Double Allee Effects and Time Delays

DOI10.1142/S0218127418501353zbMath1404.34092WikidataQ115523711 ScholiaQ115523711MaRDI QIDQ4555009

Ling-Ling Li, Jianwei Shen

Publication date: 19 November 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

time delayHopf bifurcationpredator-prey systemAllee effect

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (3)

Bifurcations of a two-dimensional discrete-time predator-prey model ⋮ Hopf bifurcation, stability switches and chaos in a prey-predator system with three stage structure and two time delays ⋮ Discrete-time predator-prey model with flip bifurcation and chaos control

Cites Work

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• A delayed predator-prey model with strong Allee effect in prey population growth
• Weak Allee effects and species coexistence
• Delay differential equations: with applications in population dynamics
• Dynamics of a modified Leslie-Gower model with double Allee effects
• Allee effects on population dynamics with delay
• Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay
• Discrete delay, distributed delay and stability switches
• Complex dynamics of a predator-prey model with impulsive state feedback control
• Dynamics of a predator-prey model with double Allee effects and impulse
• Stability and bifurcation in a delayed predator-prey system with Beddington-DeAngelis functional response
• Bistability and an Allee effect as emergent consequences of stage-specific predation
• Prey resurgence from mortality events in predator-prey models
• Habitat selection reduces extinction of populations subject to Allee effecs
• Stability and Hopf bifurcation analysis in a three-level food chain system with delay
• Existence and global attractivity of a periodic solution for an impulsive delay differential equation with Allee effect
• Coexistence in a Model of Competition in the Chemostat Incorporating Discrete Delays
• Speeds of invasion in a model with strong or weak Allee effects

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