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

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.

preprint2014arXivOpen access
Luís AlmeidaCasimir EmakoNicolas Vauchelet
math.AP
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Luís AlmeidaCasimir EmakoNicolas Vauchelet

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