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

Abstract : In this paper, we propose a kinetic model describing the collective motion by chemotaxis of two species in interaction emitting the same chemoattractant. Such model can be seen as a generalisation to several species of the Othmer-Dunbar-Alt model which takes into account the run-and-tumble process of bacteria. Existence of weak solutions for this two-species kinetic model is studied and the convergence of its diffusive limit towards a macroscopic model of Keller-Segel type is analysed.
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Luís Almeida, Casimir Emako, Nicolas Vauchelet. Existence and diffusive limit of a two-species kinetic model of chemotaxis. Kinetic and Related Models , AIMS, 2015, ⟨10.3934/krm.2015.8.359⟩. ⟨hal-00980594⟩

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