Diffusion and Ecological Problems: Modern Perspectives
-12 %

Diffusion and Ecological Problems: Modern Perspectives

 Previously published in hardcover
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Previously published in hardcover
Smon A. Levin
737 g
235x155x26 mm

This substantially expanded and updated version of the classic 1980 book by the late Akira Okubo traces the developments that have flowed from the original work, building on detailed notes he left for revision. The first edition was a comprehensive treatment of the use of diffusion models in ecology that integrated rigorous mathematical theory and substantive applications. Enormous in scope, covering a wide variety of topics and including models of spread, critical patch size, and grouping, it has remained one of the most popular books in mathematical biology and has stimulated extensive research in the two decades since its publication. In this volume, friends and disciples of Okubo incorporate a wide range of results from their own fields that build upon the framework he first established.
1 Introduction: The Mathematics of Ecological Diffusion 2 The Basics of Diffusion 3 Passive Diffusion in Ecosystems 4 Diffusion of 'Smell' and 'Taste': Chemical Communication 5 Mathematical Treatment of Biological Diffusion 6 Some Examples of Animal Diffusion 7 The Dynamics of Animal Grouping 8 Animal Movements in Home Range 9 Patchy Distribution and Diffusion 10 Population Dynamics in Temporal and Spatial Domains References Author Index Subject Index
This book surveys a wide variety of mathematical models of diffusion in the ecological context. It is written with the primary intent of providing scientists, particularly physicists but also biologists, with some background in the mathematics and physics of diffusion, and shows how they can be applied to ecological problems. The secondary intent is to provide a specialized textbook for graduate students who are interested in mathematical ecology. The reader is assumed to have a basic knowledge of probability and differential equations. Each chapter in this new edition has been substantially updated by appropriate leading researchers in the field, and contains much new material covering developments in the field in the last 20 years.