Many ecosystems develop strikingly regular spatial patterns because of small-scale
interactions between organisms, a process generally referred to as spatial self-organization …

In this review, we scrutinize historical and modern results on the linear response of dynamic
systems to external perturbations and the celebrated relationship between fluctuations and …

Throughout developmental biology and ecology, transport can be driven by nonlocal
interactions. Examples include cells that migrate based on contact with pseudopodia …

This article presents a brief overview of the main network models that use growth and
preferential attachment. We start with the classical model proposed by Barabási and Albert …

We introduce and analyze a spatial Lotka-Volterra competition model with local and
nonlocal interactions. We study two alternative classes of nonlocal competition that differ in …

Self-organized spatial patterns of vegetation are frequent in drylands and, because pattern
shape correlates with water availability, they have been suggested as important indicators of …

We consider a generalization of the FKPP equation for the evolution of the spatial density of
a single-species population where all the terms are nonlocal. That is, the spatial extension of …

It is well known that temporal first-derivative reaction-diffusion systems can produce various
fascinating Turing patterns. However, it has been found that many physical, chemical and …

We consider a couple of models for the dynamics of the populations of two interacting
species, inspired by Lotka–Volterra's classical equations. The main feature of this work is …

Background Contact-dependent inhibition (CDI) has been recently revealed as an intriguing
but ubiquitous mechanism for bacterial competition in which a species injects toxins into its …