Reaction-diffusion equations underpin the modelling of a vast array of natural and engineered phenomena, ranging from the spread of invasive species and epidemic outbreaks to phase transitions in ...

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 The reaction-diffusion master equation (RDME) has recently been used as a model for biological systems in which both noise in the chemical ...

We consider one-dimensional reaction-diffusion equations for a large class of spatially periodic nonlinearities – including multi-stable ones – and study the asymptotic behavior of solutions with ...

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 ...