Biological advection and cross-diffusion with parameter regimes

Abstract

Advection and cross-diffusion terms are obtained as dispersal strategies of biological species. The focus of the paper is their connection to a given population dynamics. In particular, meaningful parameter regimes as biological dispersal are obtained. Eventually, we obtain a systematic approach to construct an advection or a cross-diffusion term from a given population dynamics and find meaningful parameter regimes as biolog

Keywords

• cross diffusion
• chemotaxis
• biological dispersal
• lotka-volterra equations
• evolution of dispersal