Bifurcation analysis of a delayed predator–prey system with strong Allee effect and diffusion

DOI10.1080/00036811.2011.563737zbMath1266.34135OpenAlexW1983214715WikidataQ58309425 ScholiaQ58309425MaRDI QIDQ2909362

Junjie Wei, Jin-Feng Wang

Publication date: 30 August 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.563737

zbMATH Keywords

Hopf bifurcationdelayed predator-prey systemAllee effect and diffusion

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (8)

Hopf bifurcation of a delayed diffusive predator-prey model with strong allee effect ⋮ Pattern formation of a diffusive predator-prey model with strong allee effect and nonconstant death rate ⋮ Qualitative Analysis for a Phytoplankton-Zooplankton Model with Allee Effect and Holling Type II Response ⋮ Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior ⋮ Dynamical analysis of a reaction-diffusion phytoplankton-zooplankton system with delay ⋮ Stability and global Hopf bifurcation in toxic phytoplankton-zooplankton model with delay and selective harvesting ⋮ Dynamic behaviors of a predator-prey model with weak additive Allee effect on prey ⋮ Stability and Hopf bifurcation of a diffusive predator–prey model with predator saturation and competition

Cites Work

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• Bifurcation analysis in a diffusive ‘food-limited’ model with time delay
• Centre manifolds for partial differential equations with delays
• Normal forms and Hopf bifurcation for partial differential equations with delays
• THE EFFECT OF DIFFUSION FOR A PREDATOR–PREY SYSTEM WITH NONMONOTONIC FUNCTIONAL RESPONSE
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
• Speeds of invasion in a model with strong or weak Allee effects

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