Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-25T07:52:56.468Z Has data issue: false hasContentIssue false
  • English
  • Français

Annihilation dynamics in the KPP-Fisher equation

Published online by Cambridge University Press:  16 April 2002

M. RODRIGO  and
M. MIMURA
M. RODRIGO
Affiliation:
Department of Mathematical Sciences, New Jersey Institute of Technology, 606 Cullimore Hall, University Heights, Newark, NJ 07102, USA e-mail: mrodrigo@math.sci.hiroshima-u.ac.jp
M. MIMURA
Affiliation:
Institute for Nonlinear Sciences and Applied Mathematics, Graduate School of Science, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan e-mail: mimura@math.sci.hiroshima-u.ac.jp
Get access Rights & Permissions [Opens in a new window]

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
European Journal of Applied Mathematics , Volume 13 , Issue 2 , April 2002 , pp. 195 - 204
Copyright
2002 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)