Chemical and biological processes often take place in fluid flows. Many of them, like
environmental or microfluidical ones, generate filamentary patterns which have a fractal …

By considering a simple model for self-propelled particle interaction, we show that anti-
aligning forces induce a finite wavelength instability. Consequently, the system exhibits …

On the microscale, migration, proliferation and death are crucial in the development,
homeostasis and repair of an organism; on the macroscale, such effects are important in the …

Inspired by the Turing mechanism for pattern formation, we propose a simple self-propelled
particle model with short-range alignment and antialignment at larger distances. It is able to …

Patterns, fronts, and localized structures of a prototypical model for population dynamics
interaction are studied. The physical content of the model is the coexistence of a simple …

We study the properties of general Lotka-Volterra models with competitive interactions. The
intensity of the competition depends on the position of species in an abstract niche space …

Fairy circles consist of isolated or randomly distributed circular areas devoid of any
vegetation. They are observed in vast territories in southern Angola, Namibia and South …

Laboratory experiments and numerical simulations have shown that the outcome of cyclic
competition is significantly affected by the spatial distribution of the competitors. Short-range …

We present an analytic study of traveling fronts, localized colonies, and extended patterns
arising from a reaction-diffusion equation which incorporates simultaneously two features …

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 …