STABILITY AND HOPF BIFURCATION FOR A THREE-SPECIES REACTION–DIFFUSION PREDATOR–PREY SYSTEM WITH TWO DELAYS

DOI10.1142/S0218127413501940zbMath1284.35453WikidataQ114614837 ScholiaQ114614837MaRDI QIDQ5407269

Gaoxiang Yang, Jian Xu

Publication date: 7 April 2014

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

zbMATH Keywords

stabilitydiffusiondelayHopf bifurcationnormal formcenter manifold

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Partial functional-differential equations (35R10) Bifurcations in context of PDEs (35B32)

Related Items (3)

DELAY INDUCED SUBCRITICAL HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND HYPERBOLIC MORTALITY ⋮ Hopf Bifurcation Analysis and Stability for a Ratio-Dependent Predator–Prey Diffusive System with Time Delay ⋮ Stability of Hopf-bifurcating limit cycles in a diffusion-driven prey-predator system with Allee effect and time delay

Cites Work

• Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect
• Spatially nonhomogeneous equilibrium in a reaction-diffusion system with distributed delay
• A note on Hopf bifurcations in a delayed diffusive Lotka-Volterra predator-prey system
• Asymptotic stability of positive equilibrium solution for a delayed prey-predator diffusion system
• Bifurcation analysis in a delayed diffusive Nicholson's blowflies equation
• Self-organized wave pattern in a predator-prey model
• Multiple bifurcations in a delayed predator-prey diffusion system with a functional response
• Stability and Hopf bifurcation analysis on a simplified BAM neural network with delays
• Stability and Hopf bifurcation for a population delay model with diffusion effects
• Analysis of a spatial predator-prey model with delay
• STABILITY AND HOPF BIFURCATION FOR A DELAYED COOPERATIVE SYSTEM WITH DIFFUSION EFFECTS
• Destabilization of periodic solutions arising in delay-diffusion systems in several space dimensions
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion

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