Reaction-diffusion systems represent a fundamental mathematical framework to model the interplay between local reactive processes and diffusive transport of substances. These systems have wide-ranging ...

SIAM Journal on Numerical Analysis, Vol. 34, No. 3 (Jun., 1997), pp. 1185-1206 (22 pages) In this paper we consider a mathematical model motivated by patterned growth of bacterial cells. The model is ...

Observing nature shows that many temporal and spatial structures are not formed by the outside, but rather by the respective system itself. To study these self-organizing processes is the subject of ...

This is a preview. Log in through your library . Abstract A reaction-diffusion model motivated by Proteus mirabilis swarm colony development is presented and analyzed in this work. The principal ...