Pattern formation of a biomass-water reaction-diffusion model
DOI10.1016/J.AML.2021.107605zbMath1476.35034OpenAlexW3194286110MaRDI QIDQ2236759
Chengxia Lei, Jialin Zhou, Guang-Hui Zhang
Publication date: 26 October 2021
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2021.107605
Turing patternsmall/large diffusionbiomass-water reaction-diffusion modelnon-constant stationary solution
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items (1)
Cites Work
- Unnamed Item
- Global existence and finite time blow-up of solutions of a Gierer-Meinhardt system
- Mathematical aspects of pattern formation in biological systems
- Steady state bifurcations for a glycolysis model in biochemical reaction
- On the global asymptotic stability of solutions to a generalised Lengyel-Epstein system
- On spatiotemporal pattern formation in a diffusive bimolecular model
- On pattern formation in the Gray-Scott model
- Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
- Pattern formation -- a missing link in the study of ecosystem response to environmental changes
- Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
- Pattern formation of a coupled two-cell Brusselator model
- Effect of a protection zone in the diffusive Leslie predator-prey model
- Some nonexistence results for nonconstant stationary solutions to the Gray-Scott model in a bounded domain
- On steady-state solutions of the Brusselator-type system
- Global asymptotical behavior of the Lengyel-Epstein reaction-diffusion system
- Large amplitude stationary solutions to a chemotaxis system
- Positive steady-state solutions of the Noyes--Field model for Belousov--Zhabotinskii reaction.
- Analysis on a generalized Sel'kov-Schnakenberg reaction-diffusion system
- Facilitation, competition, and vegetation patchiness: from scale free distribution to patterns
- Non-constant positive steady states of the Sel'kov model.
- Diffusion, self-diffusion and cross-diffusion
- On a vegetation pattern formation model governed by a nonlinear parabolic system
- Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
- Ostwald ripening in dryland vegetation
- Bifurcation and pattern formation in diffusive Klausmeier-Gray-Scott model of water-plant interaction
- Turing patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
- Interaction between water and plants: rich dynamics in a simple model
- Steady states of a Sel'kov-Schnakenberg reaction-diffusion system
- Positive steady-state solutions of the Sel'kov model
- Qualitative analysis of steady states to the Sel'kov model
- Pattern formation in the Brusselator system
- Bifurcations and asymptotic behavior of positive steady-states of an enzyme-catalyzed reaction–diffusion system
- On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law
- Non-constant steady-state solutions for Brusselator type systems
- TURING PATTERNS IN GENERAL REACTION-DIFFUSION SYSTEMS OF BRUSSELATOR TYPE
- PATTERN FORMATION IN A RING NETWORK WITH DELAY
- A priori bounds and global existence of solutions of the steady-state Sel'kov model
- The chemical basis of morphogenesis
- Bounds for the Steady-State Sel'kov Model for Arbitrarypin Any Number of Dimensions
- Stationary Pattern of a Ratio-Dependent Food Chain Model with Diffusion
- Turing patterns in the Lengyel-Epstein system for the CIMA reaction
This page was built for publication: Pattern formation of a biomass-water reaction-diffusion model