Entity

Time filter

Source Type


Horger T.,Technical University Mu Nchen Boltzmannstrasse 3 D 85748 Garching Nchen Germany | Kuttler C.,Technical University Mu Nchen Boltzmannstrasse 3 D 85748 Garching Nchen Germany | Wohlmuth B.,Technical University Mu Nchen Boltzmannstrasse 3 D 85748 Garching Nchen Germany | Zhigun A.,Technical University Mu Nchen Boltzmannstrasse 3 D 85748 Garching Nchen Germany
Mathematical Methods in the Applied Sciences | Year: 2014

We introduce and study a degenerate reaction-diffusion system that can serve as a model prototype for the pattern formation of a bacterial multicellular community where the bacteria produce biofilm, grow and spread in the presence of a nutrient. Under proper conditions on the reaction terms, we prove the global existence and the uniqueness of solutions and illustrate the possible model behaviour in numerical simulations for a two-dimensional setting. © 2014 John Wiley & Sons, Ltd. Source

Discover hidden collaborations