# American Institute of Mathematical Sciences

January  2015, 20(1): 231-248. doi: 10.3934/dcdsb.2015.20.231

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

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

Received  October 2013 Revised  July 2014 Published  November 2014

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.
Citation: Qian Xu. The stability of bifurcating steady states of several classes of chemotaxis systems. Discrete & Continuous Dynamical Systems - B, 2015, 20 (1) : 231-248. doi: 10.3934/dcdsb.2015.20.231
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##### References:
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