Convection effect on two-dimensional dynamics in the nonlocal reaction-diffusion model

Abstract

Pattern formation described by the scalar Fisher-Kolmogorov-Petrovsky-Piscounov equation with nonlocal competition loses and convection linear on coordinates is considered numerically. Initial function localized around a point is shown to transform in a function localized around a ring with symmetrically sited local maxima. The ring radius and number of maxima depend on convection.

Keywords

• reaction-diffusion
• convection
• nonlocal competition losses
• Fisher–Kolmogorov–Petrovsky–Piscounov equation