Integrodifference Equations in Spatial Ecology

Frithjof Lutscher has worked at the interface between mathematics and biology throughout his career and has developed theory and applications of integrodifference equations for over 15 years. His research focuses on mechanistic models for ecological systems, in particular on population persistence and spread in fragmented landscapes. He is professor for applied mathematics at the University of Ottawa. He has published numerous articles in peer-reviewed journals, including Springer's Journal of Mathematical Biology, Bulletin of Mathematical Biology, and Theoretical Ecology.

Models for Spatial Population Dynamics.- Modeling with Integrodifference Equations.- Critical Patch-Size.- Positive Steady States.- The Speed of Spatial Spread.- Spatial Spread with Allee Effect.- Modeling the Dispersal Process.- Computational Aspects.- Dispersal Success.- Approximations for Spread.- The Shape of Spatial Spread.- Applications.- Structured Populations.- Two Interacting Populations.- Spatial Variation.- Temporal Variation.- Further Topics and Related Models. 

"This well-written monograph is not only a successful introduction into the field of integrodifference equations as models in spatial ecology, it also surveys the present state of the art in this field. Its contents are interesting for both theoretical ecologists and applied mathematicians, from PhD students to established researchers." (Christian Pötzsche, zbMATH 1445.45001, 2020)

"I would highly recommend this book both as an interesting setting for studying dynamical systems in their own right, and as a less-well-known, but plausibly very powerful, way to model population dynamics." (MAA Reviews, March 7, 2020)