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Discrete and Continuous Dynamical Systems - Series S (DCDS-S)
 

Stability and bifurcation analysis in a chemotaxis bistable growth system

Pages: 1165 - 1174, Volume 10, Issue 5, October 2017      doi:10.3934/dcdss.2017063

 
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Shubo Zhao - Y. Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, China (email)
Ping Liu - Y.Y. Tseng Functional Analysis Research Center and School of Mathematics Science, Harbin Normal University, Harbin, Heilongjiang, 150025, China (email)
Mingchao Jiang - Y. Y. Tseng Functional Analysis Research Center and School of Mathematical Sciences, Harbin Normal University, Harbin, Heilongjiang 150025, China (email)

Abstract: The stability analysis of a chemotaxis model with a bistable growth term in both unbounded and bounded domains is studied analytically. By the global bifurcation theorem, we identify the full parameter regimes in which the steady state bifurcation occurs.

Keywords:  Chemotaxis, bistable, bifurcation, stability.
Mathematics Subject Classification:  92C17, 74H60, 35B35, 35K55, 35K57.

Received: September 2016;      Revised: January 2017;      Available Online: June 2017.

 References