Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (4): 1365-1375.doi: 10.1016/S0252-9602(12)60105-2

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GLOBAL ATTRACTOR FOR A DENSITY-DEPENDENT SENSITIVITY CHEMOTAXIS MODEL

 CHEN Xue-Yong1,2, LIU Wei-An1   

  1. 1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China;
    2. School of Mathematics and Statistics, Xuchang University, Xuchang 461000, China
  • Received:2010-12-30 Revised:2011-06-21 Online:2012-07-20 Published:2012-07-20
  • Supported by:

    Supported by National Natural Science Foundation of China (10871151).

Abstract:

In this paper, a chemotaxis model with reproduction term in a bounded do-main Ω( Rn is discussed. The existence of a global-in-time solution and a global attractor for this model are obtained.

Key words: chemotaxis, global existence, global attractor

CLC Number: 

  • 35L50
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