Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems
DOI10.1007/s00332-012-9138-1zbMath1271.34071OpenAlexW2168179868MaRDI QIDQ1941057
Shanshan Chen, Junping Shi, Junjie Wei
Publication date: 11 March 2013
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00332-012-9138-1
stabilityHopf bifurcationreaction-diffusioncharacteristic equationsecond-order transcendental polynomial
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Biochemistry, molecular biology (92C40) Bifurcations in context of PDEs (35B32) Bifurcation theory of functional-differential equations (34K18) Spectral theory of functional-differential operators (34K08)
Related Items (42)
Cites Work
- Stability and Hopf bifurcation in a diffusive predator-prey system with delay effect
- Hopf bifurcations in a predator-prey system with multiple delays
- The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems
- Hopf bifurcation analysis in synaptically coupled HR neurons with two time delays
- Analysis of biochemical reactions models with delays
- Delay differential equations: with applications in population dynamics
- Stability switches and Hopf bifurcations in a pair of delay-coupled oscillators
- A delay reaction-diffusion model of the dynamics of botulinum in fish
- Retracted: Bifurcation analysis in the delayed Leslie-Gower predator-prey system
- Discrete delay, distributed delay and stability switches
- Stability and bifurcation in delay-differential equations with two delays
- Introduction to functional differential equations
- Global geometry of the stable regions for two delay differential equations
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Mathematical biology. Vol. 1: An introduction.
- Mathematical analysis of delay differential equation models of HIV-1 infection
- Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
- Stability and bifurcation in a neural network model with two delays.
- Theory and applications of partial functional differential equations
- Delay equations. Functional-, complex-, and nonlinear analysis
- Global attractivity of equilibrium in Gierer-Meinhardt system with activator production saturation and gene expression time delays
- Interaction of diffusion and delay
- On the zeros of a fourth degree exponential polynomial with applications to a neural network model with delays
- Synchronized Hopf bifurcation analysis in a neural network model with delays
- Hopf bifurcation analysis for a delayed predator-prey system with diffusion effects
- GLOBAL STABILITY AND HOPF BIFURCATION IN A DELAYED DIFFUSIVE LESLIE–GOWER PREDATOR–PREY SYSTEM
- On Nonlinear Dynamics of Predator-Prey Models with Discrete Delay
- Mathematical Analysis of HIV-1 Dynamics in Vivo
- Global analyses in some delayed ratio-dependent predator-prey systems
- Stability and Bifurcations of Equilibria in a Multiple-Delayed Differential Equation
- Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
- Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays
- Applied Delay Differential Equations
- An Introduction to Delay Differential Equations with Applications to the Life Sciences
- Stability and bifurcation for a delayed predator-prey model and the effect of diffusion
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Time delay-induced instabilities and Hopf bifurcations in general reaction-diffusion systems