BOGDANOV-TAKENS BIFURCATION IN A DELAYED MICHAELIS-MENTEN TYPE RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH PREY HARVESTING

DOI10.11948/2156-907X.20180238zbMath1465.92086OpenAlexW2960669363MaRDI QIDQ5859424

Yunxian Dai, Yiping Lin, Zhiliang Luo, Ping Yang

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2156-907x.20180238

zbMATH Keywords

Bogdanov-Takens bifurcationprey harvestingMichaelis-Menten typedelayed ratio-dependent predator-prey model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcation theory of functional-differential equations (34K18)

Related Items

Dynamics of a ratio-dependent Leslie-Gower predator-prey model with Allee effect and fear effect ⋮ Stability Analysis of a Leslie–Gower Model with Strong Allee Effect on Prey and Fear Effect on Predator ⋮ STABILITY AND HOPF BIFURCATION ANALYSIS ON A SPRUCE-BUDWORM MODEL WITH DELAY ⋮ SPATIOTEMPORAL DYNAMICS IN A PREDATOR-PREY MODEL WITH A FUNCTIONAL RESPONSE INCREASING IN BOTH PREDATOR AND PREY DENSITIES ⋮ Modeling the Allee effect and fear effect in predator-prey system incorporating a prey refuge

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
• About deterministic extinction in ratio-dependent predator-prey models
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Introduction to functional differential equations
• Global qualitative analysis of a ratio-dependent predator-prey system
• Global dynamics of a ratio-dependent predator-prey system
• Parametric analysis of the ratio-dependent predator-prey model
• Bogdanov-Takens bifurcation in an oscillator with negative damping and delayed position feedback
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Delay-induced Bogdanov-Takens bifurcation in a Leslie-Gower predator-prey model with nonmonotonic functional response
• Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
• Bifurcations in predator-prey systems with nonmonotonic functional response
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response
• Stability and Hopf bifurcation of a ratio-dependent predator-prey model with time delay and stage structure
• Dynamics of a ratio-dependent stage-structured predator-prey model with delay
• The Effects of Harvesting and Time Delay on Predator-prey Systems with Holling Type II Functional Response
• Global analyses in some delayed ratio-dependent predator-prey systems
• On Uniqueness of Limit Cycles in General Bogdanov–Takens Bifurcation
• STABILITY AND BIFURCATION IN A DELAYED RATIO-DEPENDENT PREDATOR–PREY SYSTEM
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• GLOBAL ANALYSIS IN DELAYED RATIO-DEPENDENT GAUSE-TYPE PREDATOR-PREY MODELS
• Heteroclinic Bifurcation in the Michaelis–Menten-Type Ratio-Dependent Predator-Prey System