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

Casimir Emako | Zendy; Luís Almeida | Zendy; Nicolas Vauchelet | Zendy

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

Author(s) -

Casimir Emako,

Luís Almeida,

Nicolas Vauchelet

Publication year - 2015

Publication title -

kinetic and related models

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.987

H-Index - 28

eISSN - 1937-5093

pISSN - 1937-5077

DOI - 10.3934/krm.2015.8.359

Subject(s) - limit (mathematics) , chemotaxis , kinetic energy , convergence (economics) , statistical physics , physics , biological system , mathematics , mathematical analysis , biology , classical mechanics , economics , genetics , receptor , economic growth

International audienceIn 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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