Stability and global Hopf bifurcation analysis on a ratio-dependent predator-prey model with two time delays

DOI10.1155/2013/321930zbMath1295.34091OpenAlexW2079132341WikidataQ58915933 ScholiaQ58915933MaRDI QIDQ2015362

Huitao Zhao, Yunxian Dai, Yiping Lin

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/321930

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) Stationary solutions of functional-differential equations (34K21)

Related Items (2)

Dynamics of generalist predator in a stochastic environment: effect of delayed growth and prey refuge ⋮ Stability of three-parameter systems of two linear differential equations with delay. I

Cites Work

• Stability and global Hopf bifurcation in a delayed food web consisting of a prey and two predators
• On some modifications of Chaplygin's method for equations in partially ordered spaces
• Dynamics in a ratio-dependent predator--prey model with predator harvesting
• Global existence of periodic solutions on a simplified BAM neural network model with delays
• Hopf bifurcation and non-hyperbolic equilibrium in a ratio-dependent predator-prey model with linear harvesting rate: analysis and computation
• Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay
• Introduction to functional differential equations
• Global qualitative analysis of a ratio-dependent predator-prey system
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Bifurcations for a predator-prey system with two delays
• Global Hopf bifurcation analysis of a BAM neural network with delays
• Global analysis of planar neural networks
• Symmetric functional differential equations and neural networks with memory
• Periodic solutions of planar systems with two delays
• Optimal harvesting and stability for two-species competitive system with stage structure
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