Reaction–diffusion systems form a foundational class of mathematical models that describe how the concentration of one or more chemical substances distributed in space changes under the influence of ...

Reaction–diffusion dynamics lie at the heart of understanding pattern formation in complex systems, ranging from chemical reactions and biological patterning to engineering applications. At its core, ...

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 ...