Abstract
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 language | English |
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Pages (from-to) | 579-594 |
Number of pages | 16 |
Journal | Mathematical Methods in the Applied Sciences |
Volume | 30 |
Issue number | 5 |
DOIs | |
State | Published - 25 Mar 2007 |
Keywords
- Chemotaxis-growth model
- Diffusion
- Fractal dimension
- Global and exponential attractors
- Numerical results