Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model
From MaRDI portal
Publication:5223307
DOI10.1007/978-3-319-26630-5_6zbMath1418.35235OpenAlexW2463862655MaRDI QIDQ5223307
Publication date: 17 July 2019
Published in: Mathematical Modeling and Applications in Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-26630-5_6
Related Items (6)
Hopf bifurcations in a class of reaction-diffusion equations including two discrete time delays: an algorithm for determining Hopf bifurcation, and its applications ⋮ Multiple stability switches and Hopf bifurcations induced by the delay in a Lengyel-Epstein chemical reaction system ⋮ An algorithm for Hopf bifurcation analysis of a delayed reaction-diffusion model ⋮ Spatiotemporal Patterns in a Lengyel–Epstein Model Near a Turing–Hopf Singular Point ⋮ Dynamic analysis and Hopf bifurcation of a Lengyel-Epstein system with two delays ⋮ Hopf bifurcations of a Lengyel-Epstein model involving two discrete time delays
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability and Hopf bifurcation for a three-component reaction-diffusion population model with delay effect
- Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions
- Bifurcations in a predator-prey model with discrete and distributed time delay
- Hopf bifurcation analysis of a general non-linear differential equation with delay
- Hopf bifurcations in Lengyel-Epstein reaction-diffusion model with discrete time delay
- Hopf bifurcations of a ratio-dependent predator-prey model involving two discrete maturation time delays
- Delay differential equations: with applications in population dynamics
- Differential-difference equations
- Hopf bifurcation analysis of a four-neuron network with multiple time delays
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Diffusion-driven instability and Hopf bifurcation in Brusselator system
- Hopf bifurcation analysis in the 1-D Lengyel-Epstein reaction-diffusion model
- Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
- Discrete delay, distributed delay and stability switches
- The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
- Theory of functional differential equations. 2nd ed
- Mathematical biology. Vol. 1: An introduction.
- Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
- Theory and applications of partial functional differential equations
- Hopf bifurcation of a predator-prey system with predator harvesting and two delays
- Hopf bifurcation analysis of a system of coupled delayed-differential equations
- A bifurcation problem for a functional differential equation of finitely retarded type
- HOPF BIFURCATION ANALYSIS FOR A RATIO-DEPENDENT PREDATOR–PREY SYSTEM INVOLVING TWO DELAYS
- Delay Differential Equations
- A chemical approach to designing Turing patterns in reaction-diffusion systems.
- The chemical basis of morphogenesis
- Hopf Bifurcation in Differential Equations with Delay for Tumor–Immune System Competition Model
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
- Elements of applied bifurcation theory
This page was built for publication: Delay Effects on the Dynamics of the Lengyel–Epstein Reaction-Diffusion Model
