<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Drift perturbation\u2019s influence on traveling wave speed in KPP-Fisher system"}

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...

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

Published Online: Sep 21, 2017

Page range: 189 - 200

Received: Feb 17, 2014

Accepted: May 12, 2014

DOI: https://doi.org/10.1515/auom-2016-0010

Keywords
Reaction-diffusion equations, heterogeneous media, traveling wave speed, drift perturbation, KPP-Fisher equations.

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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

Published Online: Sep 21, 2017

Page range: 189 - 200

Received: Feb 17, 2014

Accepted: May 12, 2014

DOI: https://doi.org/10.1515/auom-2016-0010

KeywordsReaction-diffusion equations, heterogeneous media, traveling wave speed, drift perturbation, KPP-Fisher equations.

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Reaction-diffusion equations, heterogeneous media, traveling wave speed, drift perturbation, KPP-Fisher equations.