most citedCritical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data

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math.AP2024

Stability analysis for a kinetic bacterial chemotaxis model

Vincent Calvez, Gianluca Favre, Franca Hoffmann

We perform stability analysis of a kinetic bacterial chemotaxis model of bacterial self-organization, assuming that bacteria respond sharply to chemical signals. The resulting disc…

math.AP2009★ 28 cited

Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data

Nikolaos Bournaveas, Vincent Calvez

The goal of this paper is to exhibit a critical mass phenomenon occuring in a model for cell self-organization via chemotaxis. The very well known dichotomy arising in the behavior…