Article contents
Annihilation dynamics in the KPP-Fisher equation
Published online by Cambridge University Press: 16 April 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.
- Type
- Research Article
- Information
- Copyright
- 2002 Cambridge University Press
- 6
- Cited by