Reaction-diffusion systems provide a mathematical framework for describing the interplay between local reactive processes and diffusive transport across space. In ecological settings, these models ...

Turing patterns are striking examples of self-organised structures arising in reaction–diffusion systems, where the interplay of chemical reactions and diffusion processes gives rise to spatial ...

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 ...

For numerous fundamental processes of life, the formation of certain protein patterns is essential. Protein pattern formation controlled by molecular switches is—like many processes in nature—far ...