Special Session 1: Analysis of PDEs and Free Boundary Problems

The L\`evy flight foraging hypothesis

Enrico Valdinoci
University of Western Australia
Australia
Co-Author(s):    
Abstract:
Foraging theory tries to identify the most efficient strategy of a predator in different environments. In the last years, more and more attention has been devoted to the analysis of L\`evy-type patterns in animal searches. We will present several efficiency functionals whose optimality is discussed in relation to the L\`evy exponent of the corresponding evolution equation for the forager. We will also discuss whether or not the optimal L\`evy exponent corresponds to a viable strategy and detect high-gain/high-risk foraging patterns.