Ebook: Diffusion and Ecological Problems: Modern Perspectives

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.

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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.

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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.

Content:
Front Matter....Pages i-xx
Introduction: The Mathematics of Ecological Diffusion....Pages 1-9
The Basics of Diffusion....Pages 10-30
Passive Diffusion in Ecosystems....Pages 31-106
Diffusion of “Smell” and “Taste”: Chemical Communication....Pages 107-126
Mathematical Treatment of Biological Diffusion....Pages 127-169
Some Examples of Animal Diffusion....Pages 170-196
The Dynamics of Animal Grouping....Pages 197-237
Animal Movements in Home Range....Pages 238-267
Patchy Distribution and Diffusion....Pages 268-297
Population Dynamics in Temporal and Spatial Domains....Pages 298-373
Erratum....Pages 470-470
Back Matter....Pages 374-469

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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.

Content:
Front Matter....Pages i-xx
Introduction: The Mathematics of Ecological Diffusion....Pages 1-9
The Basics of Diffusion....Pages 10-30
Passive Diffusion in Ecosystems....Pages 31-106
Diffusion of “Smell” and “Taste”: Chemical Communication....Pages 107-126
Mathematical Treatment of Biological Diffusion....Pages 127-169
Some Examples of Animal Diffusion....Pages 170-196
The Dynamics of Animal Grouping....Pages 197-237
Animal Movements in Home Range....Pages 238-267
Patchy Distribution and Diffusion....Pages 268-297
Population Dynamics in Temporal and Spatial Domains....Pages 298-373
Erratum....Pages 470-470
Back Matter....Pages 374-469
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