Global dynamics of a state-dependent delay model with unimodal feedback

DOI10.1016/j.jmaa.2012.09.058zbMath1263.34108OpenAlexW2042352220MaRDI QIDQ1931543

Xiao-Qiang Zhao, Qingwen Hu

Publication date: 14 January 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.09.058

zbMATH Keywords

Hopf bifurcationglobal dynamicsstate-dependent delayunimodal feedback

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Bifurcation theory of functional-differential equations (34K18)

Related Items (10)

Global stability of a competitive model with state-dependent delay ⋮ Modeling and analysis of a predator–prey model with state-dependent delay ⋮ Dynamics of a stage-structured single population model with state-dependent delay ⋮ State-dependent neutral delay equations from population dynamics ⋮ Dynamics of a two-species stage-structured model incorporating state-dependent maturation delays ⋮ Wavefronts of a nonlocal state-dependent time delay model ⋮ Global Stability and Hopf Bifurcation for a Stage Structured Model with Competition for Food ⋮ A consumer-resource competition model with a state-dependent delay and stage-structured consumer species ⋮ Global stability and wavefronts in a cooperation model with state-dependent time delay ⋮ Wavefronts of a stage structured model with state-dependent delay

Cites Work

• Unnamed Item
• Linearized stability for semiflows generated by a class of neutral equations, with applications to state-dependent delays
• More on linearized stability for neutral equations with state-dependent delays
• Existence results for a nondensely-defined impulsive neutral differential equation with state-dependent delay
• Solvability of impulsive neutral evolution differential inclusions with state-dependent delay
• On a class of Hammerstein integral equations
• Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
• On the global attractor of delay differential equations with unimodal feedback
• Global Hopf bifurcation for differential equations with state-dependent delay
• Nicholson's blowflies differential equations revisited: main results and open problems
• Boundary layer phenomena for differential-delay equations with state- dependent time lags. I
• Existence of periodic solutions for delay differential equations with state dependent delay
• A mathematical model of growth of population of fish in the larval stage: Density-dependence effects
• A neutral system with state-dependent delay.
• Stabilization in a State-Dependent Model of Turning Processes
• Hopf Bifurcation in a System of Functional Equations Modeling the Spread of an Infectious Disease
• Spreading Speeds and Traveling Waves for Nonmonotone Integrodifference Equations
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• On the problem of linearization for state-dependent delay differential equations
• Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback
• A non-local delayed and diffusive predator-prey model.
• Global continua of rapidly oscillating periodic solutions of state-dependent delay differential equations

This page was built for publication: Global dynamics of a state-dependent delay model with unimodal feedback