Annihilation dynamics in the KPP-Fisher equation

Document Type

Article

Publication Date

8-19-2002

Abstract

We study the annihilation dynamics arising in the KPP-Fisher equation, proposed by Fisher in 1936 to model the propagation of a mutant gene and subsequently studied rigorously in the seminal work of Kolmogorov, Petrovskii and Piskunov. The approach is via a comparison theorem, where the comparison functions satisfy equations which are linearizable to the heat equation. In some sense, we have obtained a 'linearization' of the KPP-Fisher equation.

Identifier

0036013708 (Scopus)

Publication Title

European Journal of Applied Mathematics

External Full Text Location

https://doi.org/10.1017/S0956792501004764

ISSN

09567925

First Page

195

Last Page

204

Issue

2

Volume

13

This document is currently not available here.

Share

COinS