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

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.

Keywords

• reaction-diffusion equations
• heterogeneous media
• traveling wave speed
• drift perturbation
• kpp-fisher equations.
• primary 35b20
• 35b27
• 35b50
• secondary 35c20
• 35k55
• 35k57
• 41a60.