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- Reaction–diffusion_system abstract "Reaction–diffusion systems are mathematical models which explain how the concentration of one or more substances distributed in space changes under the influence of two processes: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out over a surface in space.Reaction–diffusion systems are naturally applied in chemistry. However, the system can also describe dynamical processes of non-chemical nature. Examples are found in biology, geology and physics and ecology. Mathematically, reaction–diffusion systems take the form of semi-linear parabolic partial differential equations. They can be represented in the general formwhere each component of the vector q(x, t) represents the concentration of one substance, D is a diagonal matrix of diffusion coefficients, and R accounts for all local reactions. The solutions of reaction–diffusion equations display a wide range of behaviours, including the formation of travelling waves and wave-like phenomena as well as other self-organized patterns like stripes, hexagons or more intricate structure like dissipative solitons.".
- Reaction–diffusion_system thumbnail Travelling_wave_for_Fisher_equation.svg?width=300.
- Reaction–diffusion_system wikiPageID "8635379".
- Reaction–diffusion_system wikiPageRevisionID "605853344".
- Reaction–diffusion_system subject Category:Mathematical_modeling.
- Reaction–diffusion_system subject Category:Parabolic_partial_differential_equations.
- Reaction–diffusion_system comment "Reaction–diffusion systems are mathematical models which explain how the concentration of one or more substances distributed in space changes under the influence of two processes: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out over a surface in space.Reaction–diffusion systems are naturally applied in chemistry. However, the system can also describe dynamical processes of non-chemical nature.".
- Reaction–diffusion_system label "KPP 方程".
- Reaction–diffusion_system label "Reaction–diffusion system".
- Reaction–diffusion_system label "Reaktionsdiffusionsgleichung".
- Reaction–diffusion_system label "Reazione-diffusione".
- Reaction–diffusion_system label "Sistema de reacción-difusión".
- Reaction–diffusion_system label "Système à réaction-diffusion".
- Reaction–diffusion_system label "Реакционно-диффузная модель".
- Reaction–diffusion_system label "反応拡散系".
- Reaction–diffusion_system sameAs Reaction%E2%80%93diffusion_system.
- Reaction–diffusion_system sameAs Reaktionsdiffusionsgleichung.
- Reaction–diffusion_system sameAs Sistema_de_reacción-difusión.
- Reaction–diffusion_system sameAs Système_à_réaction-diffusion.
- Reaction–diffusion_system sameAs Sistem_reaksi-difusi.
- Reaction–diffusion_system sameAs Reazione-diffusione.
- Reaction–diffusion_system sameAs 反応拡散系.
- Reaction–diffusion_system sameAs Q901210.
- Reaction–diffusion_system sameAs Q901210.
- Reaction–diffusion_system wasDerivedFrom Reaction–diffusion_system?oldid=605853344.
- Reaction–diffusion_system depiction Travelling_wave_for_Fisher_equation.svg.
