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 ...

Based on the study of blow up of a particular system of ordinary differential equations, we give a sufficient condition for blow up of positive mild solutions to the Cauchy problem of a fractional ...