Bifurcation and Turing patterns of reaction-diffusion activator-inhibitor model
From MaRDI portal
Publication:2147671
DOI10.1016/j.physa.2017.04.053zbMath1495.92018OpenAlexW2610015946MaRDI QIDQ2147671
Yue Zhou, Yan Shao, Ran Chao Wu, Li-Ping Chen
Publication date: 20 June 2022
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physa.2017.04.053
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Bifurcations in context of PDEs (35B32)
Related Items (13)
Turing-Hopf bifurcation analysis in a diffusive Gierer-Meinhardt model ⋮ Hopf Bifurcation Analysis in a Gierer–Meinhardt Activator–Inhibitor Model ⋮ Dynamic transition analysis for activator-substrate system ⋮ Multi-spike patterns for the Gierer-Meinhardt model with heterogeneity on \(Y\)-shaped metric graph ⋮ Analysis of the Hopf bifurcation in a diffusive Gierer-Meinhardt model ⋮ Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system ⋮ Dynamic behavior analysis of a diffusive plankton model with defensive and offensive effects ⋮ Dynamics Analysis in a Gierer–Meinhardt Reaction–Diffusion Model with Homogeneous Neumann Boundary Condition ⋮ Stability and Hopf Bifurcation Analysis of a Reduced Gierer–Meinhardt Model ⋮ Pattern Dynamics in a Diffusive Gierer–Meinhardt Model ⋮ Turing–Hopf bifurcation and spatiotemporal patterns in a Gierer–Meinhardt system with gene expression delay ⋮ Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation ⋮ Turing-Turing bifurcation and multi-stable patterns in a Gierer-Meinhardt system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spatial resonance and Turing-Hopf bifurcations in the Gierer-Meinhardt model
- Mathematical aspects of pattern formation in biological systems
- Global-in-time behavior of the solution to a Gierer-Meinhardt system
- Dynamics and stability of spike-type solutions to a one dimensional Gierer-Meinhardt model with sub-diffusion
- On global existence for the Gierer-Meinhardt system
- Stripe and spot patterns for the Gierer-Meinhardt model with saturated activator production
- Turing instabilities and patterns near a Hopf bifurcation
- The influence of gene expression time delays on Gierer-Meinhardt pattern formation systems
- On the Gierer-Meinhardt system with precursors
- Existence and stability analysis of spiky solutions for the Gierer-Meinhardt system with large reaction rates
- Transitions and heteroclinic cycles in the general Gierer-Meinhardt equation and cardiovascular calcification model
- Pattern formation and Turing instability in an activator-inhibitor system with power-law coupling
- Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
- Multiple-spike ground state solutions of the Gierer-Meinhardt equations for biological activator-inhibitor systems
- Large-time behaviour and blow up of solutions for Gierer-Meinhardt systems
- Pulses in a Gierer--Meinhardt Equation with a Slow Nonlinearity
- MULTIPLE BIFURCATION ANALYSIS AND SPATIOTEMPORAL PATTERNS IN A 1-D GIERER–MEINHARDT MODEL OF MORPHOGENESIS
- The chemical basis of morphogenesis
- ON THE GIERER–MEINHARDT SYSTEM WITH SATURATION
- On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates
- Introduction to Applied Nonlinear Dynamical Systems and Chaos
- Bifurcation analysis of the Gierer–Meinhardt system with a saturation in the activator production
This page was built for publication: Bifurcation and Turing patterns of reaction-diffusion activator-inhibitor model