Fisher's equation belongs to the class of reaction–diffusion equation: in fact, it is one of the simplest semilinear reaction-diffusion equations, the one which has the inhomogeneous term $${\displaystyle f(u,x,t)=ru(1-u),\,}$$ which can exhibit traveling wave solutions that switch between equilibrium … See more In mathematics, Fisher's equation (named after statistician and biologist Ronald Fisher) also known as the Kolmogorov–Petrovsky–Piskunov equation (named after Andrey Kolmogorov, Ivan Petrovsky, … See more • ZFK equation • List of plasma (physics) articles • Allen–Cahn equation See more • Fisher's equation on MathWorld. • Fisher equation on EqWorld. See more WebThe main research method is a self-similar approach. Considering in the field, there is a parabolic system of two quasilinear equations of reaction-diffusion (1), , (2) which describes the process of biological population of Kolmogorov-Fisher in a nonlinear two-component environment, and mutual diffusion coefficients which are respectively ...
A unifying nonlinear probabilistic epidemic model in space and …
WebDec 19, 2024 · In this paper, a finite difference scheme is presented for the initial-boundary value problem for the two-dimensional nonlinear … WebSep 22, 2024 · Fourth order nonlinear Extended Fisher Kolmogorov (EFK) equations in one and two space dimensions in the following form. {u}_ {t}+\gamma {\Delta }^ {2}u … daily use fancy slippers
On the exact solutions of nonlinear extended Fisher-Kolmogorov equation ...
WebMay 24, 2024 · In this article, we investigate existence and the exact solutions of the extended Fisher-Kolmogorov (EFK) equation. This equation is used in the … WebNov 3, 2011 · The Fisher–Kolmogorov equation is viewed as a prototype for studying reaction-diffusion systems that exhibit bifurcation behavior and traveling wave solutions. The full mathematical statement of the transient … WebMar 1, 1995 · The Fisher-Kolmogorov equation for a reaction-diffusion process considered in [1] is treated using decomposition to determine statistics of the concentration. bionic welder