It is well established that a wide variety of phenomena in cellular and molecular biology
involve anomalous transport eg the statistics for the motility of cells and molecules are …

This paper is an introductory review of the problem of front propagation into unstable states.
Our presentation is centered around the concept of the asymptotic linear spreading velocity …

One of the major challenges in modern biology is to understand how the molecular
components of a living cell operate in a highly noisy environment. What are the specific …

In this paper we investigate a diffusive logistic model with a free boundary in one space
dimension. We aim to use the dynamics of such a problem to describe the spreading of a …

In 438 alphabetically-arranged essays, this work provides a useful overview of the core
mathematical background for nonlinear science, as well as its applications to key problems …

An overview of various aspects related to the spectral and nonlinear stability of travelling-
wave solutions to partial differential equations is given. The point and the essential spectrum …

It is shown that the methods previously used by the author [Wei82] and by R. Lui [Lui89] to
obtain asymptotic spreading results and sometimes the existence of traveling waves for a …

The theory of reaction–diffusion waves begins in the 1930s with the works in population
dynamics, combustion theory and chemical kinetics. At the present time, it is a well …

This paper is devoted to the study of pulsating travelling fronts for reaction‐diffusion‐
advection equations in a general class of periodic domains with underlying periodic …

We present a model system for strongly nonlinear transition waves generated in a periodic
lattice of bistable members connected by magnetic links. The asymmetry of the on-site …