STABILITY AND HOPF BIFURCATION OF A MODIFIED DELAY PREDATOR-PREY MODEL WITH STAGE STRUCTURE

DOI10.11948/2018.573zbMath1459.34186OpenAlexW2783882874MaRDI QIDQ5147901

Xin Li, Ruilan Tian, Wei Zhang, Shaotao Zhu, Jing Li

Publication date: 29 January 2021

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

Full work available at URL: https://doi.org/10.11948/2018.573

zbMATH Keywords

stabilityHopf bifurcationequilibrium pointdelayed differential equationhypernormal form

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) 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)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamics of a delayed business cycle model with general investment function
• Hopf bifurcation analysis in synaptically coupled HR neurons with two time delays
• Hypernormal form theory: foundations and algorithms
• The dynamics of an impulsive delay predator-prey model with stage structure and Beddington-type functional response
• A stage-structured prey-predator model with discrete time delay
• Integral averaging and bifurcation
• Bifurcation analysis of a Lotka-Volterra mutualistic system with multiple delays
• Restrictions and unfolding of double Hopf bifurcation in functional differential equations
• Unique normal form of a class of 3 dimensional vector fields with symmetries
• Delay equation models for populations that experience competition at immature life stages
• On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
• A bifurcation problem for a functional differential equation of finitely retarded type
• A SUFFICIENT CONDITION FOR THE UNIQUENESS OF NORMAL FORMS AND UNIQUE NORMAL FORMS OF GENERALIZED HOPF SINGULARITIES
• GLOBAL ANALYSIS IN DELAYED RATIO-DEPENDENT GAUSE-TYPE PREDATOR-PREY MODELS
• HOPF BIFURCATION INDUCED BY NEUTRAL DELAY IN A PREDATOR–PREY SYSTEM

This page was built for publication: STABILITY AND HOPF BIFURCATION OF A MODIFIED DELAY PREDATOR-PREY MODEL WITH STAGE STRUCTURE