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

Vegetation patterns in arid and semi-arid ecosystems as a self-organized response to
resource scarcity is a well-documented issue. Their formation is often attributed to the …

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 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 …

In this article, we develop an unconditionally stable numerical scheme for the modified
Fisher–Kolmogorov–Petrovsky–Piscounov (Fisher–KPP) equation modeling population …

We investigate a nonlocal generalization of the Fisher–KPP equation, which incorporates
logistic growth and diffusion, for a single species population in a viable patch (refuge). In this …

We investigate how initial and boundary conditions influence the competition dynamics and
outcome in dispersal-structured populations. The study is carried out through numerical …

In this work, we present a diffusive predator–prey model with a finite interaction scale
between species and an external flow. The system is confined to a two-dimensional domain …

We construct quasiparticles-like solutions to the one-dimensional Fisher-Kolmogorov-
Petrovskii-Piskunov (FKPP) with a nonlocal nonlinearity using the method of semiclassically …