Self-organized spatial patterns are ubiquitous in ecological systems and allow populations
to adopt non-trivial spatial distributions starting from disordered configurations. These …

This work aims at elucidating the conditions under which stationary and oscillatory periodic
patterns may emerge in a class of one-dimensional three-compartments reaction–diffusion …

Spatiotemporal patterns of vegetation are a ubiquitous feature of semi-arid ecosystems. On
sloped terrain, vegetation patterns occur as stripes perpendicular to the contours. Field …

In this work, we carry out an analytical and numerical investigation of travelling waves
representing arced vegetation patterns on sloped terrains. These patterns are reported to …

Numerical techniques are widely used to simulate population dynamics in space. In
vegetation dynamics, these techniques are very useful to investigate how plants grow …

Vegetation patterning processes taking place on sloped terrains are here investigated
through a class of three-compartments 1D reaction–advection–diffusion models enclosing …

Reaction-diffusion models describing interactions between vegetation and water reveal the
emergence of several types of patterns and travelling wave solutions corresponding to …

We study the scenario in which traveling pulses emerge in a prototypical type-I one-
dimensional excitable medium, which exhibits two different routes to excitable behavior …

In this work, an extension of the 1D Klausmeier model that accounts for the toxicity
compounds is considered and the occurrence of travelling stripes is investigated. Numerical …

Plant-soil negative feedback (NF) is a well-established phenomenon that, by preventing the
dominance of a single species, allows species coexistence and promotes the maintenance …