Vegetation pattern is one of the typical features in arid or semi-arid areas and thus revealing
the mechanism of vegetation evolution is helpful to understand the behavior of ecosystem …

Periodic travelling waves (wavetrains) are an important solution type for many partial
differential equations. In this paper I review the use of numerical continuation for studying …

Spatially periodic patterns can be observed in a variety of ecosystems. Model studies
revealed that patterned ecosystems may respond in a nonlinear way to environmental …

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 …

Intertidal mussels can self-organize into periodic spot, stripe, labyrinth, and gap patterns
ranging from centimeter to meter scales. The leading mathematical explanations for these …

Spatial self-organization of dryland vegetation constitutes one of the most promising
indicators for an ecosystem's proximity to desertification. This insight is based on studies of …

Spatially periodic vegetation patterns in arid to semi‐arid regions have inspired numerous
mechanistic models in the last decade. All embody a common principle of self‐organization …

In this paper we introduce a conceptual model for vegetation patterns that generalizes the
Klausmeier model for semi-arid ecosystems on a sloped terrain (Klausmeier in Science 284 …

Vegetation pattern provides useful signals for vegetation protection and can be identified as
an early warning of desertification. In some arid or semi-arid regions, vegetation absorbs …

Dense vegetation bands aligned to contour levels and alternating at regular intervals with
relatively barren interbands have been reported at the margins of all tropical deserts. Since …