We study the reaction front for the process A+ B→ C in which the reagents move
subdiffusively. Our theoretical description is based on a fractional reaction-subdiffusion …

This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on
fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the …

We have revisited the problem of anomalously diffusing species, modeled at the mesoscopic
level using continuous time random walks, to include linear reaction dynamics. If a constant …

A fractional reaction-diffusion equation is derived from a continuous time random walk
model when the transport is dispersive. The exit from the encounter distance, which is …

To analyze possible generalizations of reaction-diffusion schemes for the case of
subdiffusion we discuss a simple monomolecular conversion A→ B. We derive the …

We propose a two-component reaction-transport model for the migration-proliferation
dichotomy in the spreading of tumor cells. By using a continuous time random walk (CTRW) …

Activator-inhibitor systems of reaction-diffusion equations have been used to describe
pattern formation in numerous applications in biology, chemistry, and physics. The rate of …

The main aim of the paper is to incorporate the nonlinear kinetic term into non-Markovian
transport equations described by a continuous time random walk (CTRW) with …

We study the kinetics of the recombination reaction in subdiffusive media, where the
displacement of reactants r (t) follows∝ t α with 0< α< 1. We derive a rigorous fractional …

We have investigated Turing pattern formation through linear stability analysis and
numerical simulations in a two-species reaction–diffusion system in which a fractional order …