Drift perturbation’s influence on traveling wave speed in KPP-Fisher system

Fathi Dkhil; Bechir Mannoubi

doi:10.1515/auom-2016-0010

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Drift perturbation’s influence on traveling wave speed in KPP-Fisher system

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 24 (2016): Issue 1 (January 2016)

By: Fathi Dkhil and Bechir Mannoubi

Open Access

|Sep 2017

Abstract

This paper dressed the drift perturbation effects on the traveling wave speed in a reaction-diffusion system. We prove the existence of a traveling front solution of a KPP-Fisher equation and we show an asymptotic expansion of her speed. Finally, we discuss according all parameters of our system regions of the plane in which the traveling wave speed increases or decreases as a function of a small parameter ε.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2016-0010 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 189 - 200

Submitted on: Feb 17, 2014

Accepted on: May 12, 2014

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Reaction-diffusion equations,

heterogeneous media,

traveling wave speed,

drift perturbation,

KPP-Fisher equations.

Related subjects:

Mathematics,

General mathematics

© 2017 Fathi Dkhil, Bechir Mannoubi, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 24 (2016): Issue 1 (January 2016)