A Discrete Velocity Kinetic Model with Food Metric: Chemotaxis Traveling Waves

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We introduce a mesoscopic scale chemotaxis model for traveling wave phenomena which is induced by food metric. The organisms of this simplified kinetic model have two discrete velocity modes, and a constant tumbling rate. The main feature of the model is that the speed of organisms is constant with respect to the food metric, not the Euclidean metric. The uniqueness and the existence of the traveling wave solution of the model are obtained. Unlike the classical logarithmic model case there exist traveling waves under super-linear consumption rates and infinite population pulse-type traveling waves are obtained. Numerical simulations are also provided.
Publisher
SPRINGER
Issue Date
2017-02
Language
English
Article Type
Article
Keywords

DRIFT-DIFFUSION LIMITS; BACTERIAL CHEMOTAXIS; DISPERSAL; EVOLUTION

Citation

BULLETIN OF MATHEMATICAL BIOLOGY, v.79, no.2, pp.277 - 302

ISSN
0092-8240
DOI
10.1007/s11538-016-0235-4
URI
http://hdl.handle.net/10203/220866
Appears in Collection
MA-Journal Papers(저널논문)
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