Synopses & Reviews
This book exposes the fundamental theory for non-standard diffusion problems in movement ecology. Lévy processes and anomalous diffusion have shown to be both powerful and useful tools in describing qualitatively and quantitatively a wide variety of spatial population ecological phenomena and dynamics, such as invasions fronts and search strategies. Adopting a self-contained, textbook-style presentation the authors provide the elements of statistical physics and stochastic processes on which the modelling of movement ecology is based and introduce in a systematic way the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels of description. The explicit distinction of these description levels and their interrelation is particularly suitable to cope with the broad spectrum of space and time scales involved in bio-ecological problems.
Synopsis
This book details the fundamental theory for non-standard diffusion problems in movement ecology. It features numerous exercises with solutions.
Synopsis
This book presents the fundamental theory for non-standard diffusion problems in movement ecology. Lévy processes and anomalous diffusion have shown to be both powerful and useful tools for qualitatively and quantitatively describing a wide variety of spatial population ecological phenomena and dynamics, such as invasion fronts and search strategies.
Adopting a self-contained, textbook-style approach, the authors provide the elements of statistical physics and stochastic processes on which the modeling of movement ecology is based and systematically introduce the physical characterization of ecological processes at the microscopic, mesoscopic and macroscopic levels. The explicit definition of these levels and their interrelations is particularly suitable to coping with the broad spectrum of space and time scales involved in bio-ecological problems.
Table of Contents
Elements of Probability Theory.- Introduction to Stochastic Processes.- Microscopic, Mesoscopic and Macroscopic Descriptions of Dispersal- Continuous-Time Random Walks and Anomalous Diffusion.- Reaction-Dispersal Models and Front Propagation.- Stochastic Optimal Foraging Theory.- Cell Motion and Chemotaxis.- Host-Pathogen Interactions.- Biological Invasions.- Random Search in Model Organisms.