Vegetation pattern dynamics is a pivotal research domain in ecology, which can reveal the
impact of the non-uniform distribution of vegetation on ecosystem structure and function …

Agricultural land expansion and intensification, driven by human consumption of agricultural
goods, are among the major threats to environmental degradation and biodiversity …

It is well known that vegetation patterns characterize the distribution of the vegetation and
provide some signs for vegetation protection. The positive feedbacks regulation between the …

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 …

In this work we consider a quite general class of two-species hyperbolic reaction-advection-
diffusion system with the main aim of elucidating the role played by inertial effects in the …

A synthesis is presented of recent work by the authors and others on the formation of
localised patterns, isolated spots, or sharp fronts in models of natural processes governed …

The origin, stability, and bifurcation structure of different types of bright localized structures
described by the Lugiato-Lefever equation are studied. This mean field model describes the …

Abstract Systems of activator–inhibitor reaction–diffusion equations posed on an infinite line
are studied using a variety of analytical and numerical methods. A canonical form is …

A recent study of canonical activator-inhibitor Schnakenberg-like models posed on an
infinite line is extended to include models, such as Gray–Scott, with bistability of …

This manuscript tackles the study of vegetation pattern dynamics driven by inertial effects
and secondary seed dispersal. To achieve this goal, an hyperbolic extension of the classical …