Spatiotemporal pattern formation and multiple bifurcations in a diffusive bimolecular model
From MaRDI portal
Publication:708537
DOI10.1016/j.nonrwa.2010.02.007zbMath1203.35037OpenAlexW2065980799MaRDI QIDQ708537
Junjie Wei, Feng-Qi Yi, Jian-Xin Liu
Publication date: 14 October 2010
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.02.007
Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Semilinear parabolic equations (35K58) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items
Bifurcations in the diffusive Bazykin model, Turing Patterns of a Lotka–Volterra Competitive System with Nonlocal Delay, Dynamics in a diffusive plankton system with time delay and Tissiet functional response, Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law, Hopf bifurcation in spatially homogeneous and inhomogeneous autocatalysis models, Turing instability and formation of temporal patterns in a diffusive bimolecular model with saturation law, Steady-state and Hopf bifurcations in the Langford ODE and PDE systems, The Behavior of Spatially Homogeneous and Inhomogeneous Autocatalysis System at Infinity, Spatiotemporal patterns and bifurcations with degeneration in a symmetry glycolysis model, BIFURCATION ANALYSIS OF A DIFFUSIVE BIMOLECULAR MODEL WITH DELAYED FEEDBACK, Spatiotemporal dynamics for a diffusive mussel-algae model near a Hopf bifurcation point, Hopf bifurcation analysis in a one-dimensional Schnakenberg reaction-diffusion model, Stability and Hopf bifurcation in the general Langford system, Hopf bifurcation and steady-state bifurcation for an autocatalysis reaction-diffusion model, Global dynamics of a diffusive phytoplankton-zooplankton model with toxic substances effect and delay, Qualitative analysis on positive steady-state solutions for an autocatalysis model with high order, Turing-Hopf bifurcation in the reaction-diffusion equations and its applications, Hopf bifurcation analysis in a delayed diffusive predator-prey system with nonlocal competition and schooling behavior, Spatiotemporal Patterns Induced by Cross-Diffusion in a Three-Species Food Chain Model, The existence of steady states for a bimolecular model with autocatalysis and saturation law, Bifurcation analysis of the Gierer–Meinhardt system with a saturation in the activator production, Turing instability and bifurcation analysis in a diffusive bimolecular system with delayed feedback, Hopf bifurcations and oscillatory patterns of a homogeneous reaction-diffusion singular predator-prey model, Bifurcation analysis of a diffusive predator-prey system with nonconstant death rate and Holling III functional response, Turing–Hopf Bifurcation and Spatio-Temporal Patterns of a Ratio-Dependent Holling–Tanner Model with Diffusion, Bifurcation analysis of reaction-diffusion Schnakenberg model, Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations, Studies on the existence of unstable oscillatory patterns bifurcating from Hopf bifurcations in a Turing model
Cites Work
- Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of CIMA chemical reactions
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
- Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models
- Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
- On the indices of fixed points of mappings in cones and applications
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Some global results for nonlinear eigenvalue problems
- On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- Singular perturbations approach to the limit cycle and global patterns in a nonlinear diffusion-reaction problem with autocatalysis and saturation law
- Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Asymptotic behavior and positive steady-state solutions of a reaction-diffusion model with autocatalysis and saturation law
- Uniqueness, multiplicity and stability for positive solutions of a pair of reaction–diffusion equations
- Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion