Allee effect that refers to a positive relationship between individual fitness and population
density provides an important conceptual framework in conservation biology. While …

Ecology Letters (2011) 14: 615–624 Abstract Biological invasions are a global and
increasing threat to the function and diversity of ecosystems. Allee effects (positive density …

Allee effects are (broadly) defined as a decline in individual fitness at low population size or
density. They can result in critical population thresholds below which populations crash to …

Most evolutionary theory does not deal with populations expanding or contracting in space.
Invasive species, climate change, epidemics, and the breakdown of dispersal barriers …

Although the spatial dimension of ecosystem dynamics is now widely recognized, the
specific mechanisms behind species patterning in space are still poorly understood and the …

If we had to formulate in one sentence what this book is about, it might be “How partial
differential equations can help to understand heat explosion, tumor growth or evolution of …

We consider the Fisher-KPP equation in a wavelike shifting environment for which the wave
profile of the environment is given by a monotonically decreasing function changing signs …

The problem of forest insect invasions is intensifying. Non-native forest insects are invading
virtually every world region, and many are causing severe ecological and economic impacts …

Natural populations throughout the tree of life undergo range expansions in response to
changes in the environment. Recent theoretical work suggests that range expansions can …

Vegetation patterning in water-limited and other resource-limited ecosystems highlights
spatial self-organization processes as potentially key drivers of community assembly. These …