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• W2771640402 abstract "A model consisting of a kinetic equation for “run-and-tumble” biased bacteria motion, coupled with two reaction-diffusion equations for chemical signals, is studied. It displays time-asymptotic propagation at constant velocity, i.e., aggregated travelling (exponential) layers. To capture them for various parameters, a well-balanced setup is based on both “Case's elementary solutions and $mathcal{L}$-spline reconstruction. Far from the diffusive regime, waves travelling at different velocities (bistability) are proved to coexist. Numerics suggest that they are locally asymptotically stable, so that the resulting bifurcation diagram shows counterintuitive features." @default.
• W2771640402 created "2017-12-22" @default.
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• W2771640402 date "2017-01-01" @default.
• W2771640402 modified "2023-09-23" @default.
• W2771640402 title "Travelling Chemotactic Aggregates at Mesoscopic Scale and BiStability" @default.
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• W2771640402 doi "https://doi.org/10.1137/16m1108108" @default.
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