Adler J. Chemotaxis in bacteria[J]. Science,1966,153:708-716.
[2]
Berg H C, Turner L. Chemotaxis of bacteria in glass capillary[J]. Biophys J,1990,58:919-930.
[3]
Mimura M, Tsujikawa T. Aggregating pattern dynamics in a chemotaxis model including growth[J]. Physica,1996,A230:499-543.
[4]
Efendiev M, Nakaguchi E. Upper and lower estimate of dimension of the global attractor for the Chemotaxis-Growth system II:Two-dimensional case[J]. Adv Math Sci Appl,2006,16:581-590.
[5]
Efendiev M, Nakaguchi E, Wendland W L. Uniform estimate of dimension of the global attractor for a semi-discretized Chemotaxis-Growth system[J]. Disc Contin Dyn Syst,2007(S):334-343.
[6]
Efendiev M, Nakaguchi E, Wendland W L. Dimension estimate of the global attractor for a semi-discretized Chemotaxis-Growth system by conservative upwind finite-element scheme[J]. J Math Anal Appl,2009,358:136-147.
[7]
Temam R. Infinite-Dimensional Dynamical Systems in Mechanics and Physics[M]. 2nd ed. Berlin:Springer-Verlag,1997:16-29.
Dalquist F W, Lovely P, Koshland D E. Quantitative analysis of bacterial migration in chemotaxis[J]. Nature New Biol,1972,236:120-123.
[11]
Budrene E O, Berg H C. Complex patterns formed by motile cells of Escherichia coli[J]. Nature,1991,349:630-633.
[12]
Aida M, Yagi A. Global attractor for approximate system of chemotaxis and growth[J]. Dyn Contin Discrete Impuls Syst,2003,A10:309-315.
[13]
Efendiev M, Nakaguchi E. Upper and lower estimate of dimension of the global attractor for the Chemotaxis-Growth system I[J]. Adv Math Sci Appl,2006,16:569-579.
[14]
Nakaguchi E, Efendiev M. On a new dimension estimate of the global attractor for Chemotaxis-Growth systems[J]. Osaka J Math,2008,45(2):273-281.
[15]
Aidaa M, Osakib K, Tsujikawac T, et al. Chemotaxis and growth system with singular sensitivity function[J]. Nonl Anal:RWA,2005,6(2):323-336.
