Over recent years there has been an accumulation of evidence from a variety of
experimental, theoretical, and field studies that many organisms use a movement strategy …

There is now compelling evidence that many organisms have movement patterns that can
be described as Lévy walks, or Lévy flights. Lévy movement patterns have been identified in …

Recent advances in spatial ecology have improved our understanding of the role of large‐
scale animal movements. However, an unsolved problem concerns the inherent …

We study through a reaction-diffusion algorithm the influence of landscape diversity on the
efficiency of search dynamics. Remarkably, the identical optimal search strategy arises in a …

We review the general problem of random searches in the context of biological encounters.
We analyze deterministic and stochastic aspects of searching in general and address the …

The study of animal foraging behaviour is of practical ecological importance, and
exemplifies the wider scientific problem of optimizing search strategies. Lévy flights are …

An optimal search theory, the so-called Lévy-flight foraging hypothesis, predicts that
predators should adopt search strategies known as Lévy flights where prey is sparse and …

There has been growing interest in the study of Lévy flights observed in the movements of
biological organisms performing random walks while searching for other organisms. Here …

While evidence for optimal random search patterns, known as Lévy walks, in empirical
movement data is mounting for a growing list of taxa spanning motile cells to humans, there …

A considerable amount of research has claimed that animals' foraging behaviors display
movement lengths with power-law distributed tails, characteristic of Lévy flights and Lévy …