The stability of bifurcating steady states of several classes of chemotaxis systems

Qian Xu

doi:10.3934/dcdsb.2015.20.231

Article Contents

2015, Volume 20, Issue 1: 231-248. Doi: 10.3934/dcdsb.2015.20.231

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The stability of bifurcating steady states of several classes of chemotaxis systems

Qian Xu^1,

1.
Department of Basic Courses, Beijing Union University, Beijing 100101

Received: September 30, 2013

Revised: June 30, 2014

Published: December 2014

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Abstract

This paper concerns with the stability of bifurcating steady states obtained in [13] of several chemotaxis systems. By spectral analysis and the principle of the linearized stability, we prove that the bifurcating steady states are stable when the parameters satisfy some certain conditions.

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Mathematics Subject Classification: Primary: 35B32, 35B35; Secondary: 92C17.

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References

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