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- Fisher's_equation abstract "In mathematics, Fisher's equation, , named after R. A. Fisher, is the partial differential equationFisher proposed this equation to describe the spatial spread of an advantageous allele and explored its travelling wave solutions. For every wave speed c ≥ 2, it admits travelling wave solutions of the formwhere is increasing andThat is, the solution switches from the equilibrium state u = 0 to the equilibrium state u = 1. No such solution exists for c < 2. The wave shape for a given wave speed is unique.For the special wave speed , all solutions can be found in a closed form, withwhere is arbitrary, and the above limit conditions are satisfied for . It is perhaps the simplest example of a semilinear reaction-diffusion equationwhich can exhibit traveling wave solutions that switch between equilibrium states given by . Such equations occur, e.g., in ecology, physiology, combustion, crystallization, plasma physics, and in general phase transition problems.Proof of the existence of traveling wave solutions and analysis of their properties is often done by the phase space method.".
- Fisher's_equation thumbnail FKPPwiki.jpg?width=300.
- Fisher's_equation wikiPageExternalLink npde1101.pdf.
- Fisher's_equation wikiPageExternalLink FishersEquation.html.
- Fisher's_equation wikiPageID "1822746".
- Fisher's_equation wikiPageRevisionID "597470985".
- Fisher's_equation hasPhotoCollection Fisher's_equation.
- Fisher's_equation subject Category:Partial_differential_equations.
- Fisher's_equation type Abstraction100002137.
- Fisher's_equation type Communication100033020.
- Fisher's_equation type DifferentialEquation106670521.
- Fisher's_equation type Equation106669864.
- Fisher's_equation type MathematicalStatement106732169.
- Fisher's_equation type Message106598915.
- Fisher's_equation type PartialDifferentialEquation106670866.
- Fisher's_equation type PartialDifferentialEquations.
- Fisher's_equation type Statement106722453.
- Fisher's_equation comment "In mathematics, Fisher's equation, , named after R. A. Fisher, is the partial differential equationFisher proposed this equation to describe the spatial spread of an advantageous allele and explored its travelling wave solutions. For every wave speed c ≥ 2, it admits travelling wave solutions of the formwhere is increasing andThat is, the solution switches from the equilibrium state u = 0 to the equilibrium state u = 1. No such solution exists for c < 2.".
- Fisher's_equation label "Fisher's equation".
- Fisher's_equation label "Kolmogorov-Gleichung".
- Fisher's_equation label "フィッシャーの方程式".
- Fisher's_equation label "费希尔方程".
- Fisher's_equation sameAs Kolmogorov-Gleichung.
- Fisher's_equation sameAs フィッシャーの方程式.
- Fisher's_equation sameAs m.05zqr4.
- Fisher's_equation sameAs Q1763840.
- Fisher's_equation sameAs Q1763840.
- Fisher's_equation sameAs Fisher's_equation.
- Fisher's_equation wasDerivedFrom Fisher's_equation?oldid=597470985.
- Fisher's_equation depiction FKPPwiki.jpg.
- Fisher's_equation isPrimaryTopicOf Fisher's_equation.
