Existence and diffusive limit of a two-species kinetic model of chemotaxis

Abstract

In this paper, we propose a kinetic model describing the collective motionby chemotaxis of two species in interaction emitting the same chemoattractant.Such model can be seen as a generalisation to several speciesof the Othmer-Dunbar-Alt model which takes into account the run-and-tumbleprocess of bacteria.Existence of weak solutions for this two-species kinetic model is studied andthe convergence of its diffusive limit towards a macroscopic model ofKeller-Segel type is analysed.