Research on the coupling of soil, vegetation, and hydrological processes is not only a
research hotspot in disciplines such as pedology, ecohydrology and Earth system science …

Analysis of spatial structure in ecosystems provides an opportunity to identify ecological
processes and species interactions that are key to the system's functioning [90, 79, 46, 58 …

In this book we consider solution branches and bifurcations in nonlinear partial differential
equations (PDEs) as models from science (and some economics). Given a nonlinear PDE …

Mankind has long been interested in the growth of plants, even in the Middle Ages,
Leonardo da Vinci observed the seasonality of growth and some features of plant forms. In …

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 …

In this paper, the pattern formation process in arid environments on flat terrains is
investigated. In particular, a class of one-dimensional hyperbolic reaction-transport …

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 …

This work focuses on the dynamics of vegetation stripes in sloped semi-arid environments in
the presence of secondary seed dispersal and inertial effects. To this aim, a hyperbolic …