Dimension estimate of the exponential attractor for the chemotaxis-growth system

Messoud Efendiev, Michael Kläre, Rupert Lasser

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider a chemotaxis-growth model which takes into account diffusion, chemotaxis, production of chemical substance, and growth. We present estimates from above and below of the fractal dimension dim ̄ of the exponential attractor ̄ in terms of the coefficients of the system. Comparisons are made between the sizes of the global and exponential attractors. Numerical simulations are presented which confirm the analytical results obtained.

Original languageEnglish
Pages (from-to)579-594
Number of pages16
JournalMathematical Methods in the Applied Sciences
Issue number5
StatePublished - 25 Mar 2007


  • Chemotaxis-growth model
  • Diffusion
  • Fractal dimension
  • Global and exponential attractors
  • Numerical results


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