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Integrodifference Equations in Spatial Ecology

  • Frithjof┬áLutscher
Textbook

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 49)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Basics and Foundations

    1. Front Matter
      Pages 1-1
    2. Frithjof Lutscher
      Pages 3-7
    3. Frithjof Lutscher
      Pages 9-22
    4. Frithjof Lutscher
      Pages 23-38
    5. Frithjof Lutscher
      Pages 39-52
    6. Frithjof Lutscher
      Pages 53-73
    7. Frithjof Lutscher
      Pages 75-86
    8. Frithjof Lutscher
      Pages 87-104
    9. Frithjof Lutscher
      Pages 105-115
  3. Approximations and Applications

    1. Front Matter
      Pages 117-117
    2. Frithjof Lutscher
      Pages 119-132
    3. Frithjof Lutscher
      Pages 133-143
    4. Frithjof Lutscher
      Pages 145-159
    5. Frithjof Lutscher
      Pages 161-197
  4. Extensions and Challenges

    1. Front Matter
      Pages 199-199
    2. Frithjof Lutscher
      Pages 201-230
    3. Frithjof Lutscher
      Pages 231-283
    4. Frithjof Lutscher
      Pages 285-330
    5. Frithjof Lutscher
      Pages 331-348
    6. Frithjof Lutscher
      Pages 349-361
  5. Back Matter
    Pages 363-385

About this book

Introduction

This book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equations. The theory in the book is motivated and illustrated by many examples from conservation biology, biological invasions, pattern formation and other areas. In this way, the book conveys the more general message that bringing mathematical approaches and ecological questions together can generate novel insights into applications and fruitful challenges that spur future theoretical developments. The book is suitable for graduate students and experienced researchers in mathematical ecology alike.

Keywords

Spatial Ecology Integrodifference Equations Allee Effect Structured Populations Laplace Kernel mathematical modeling population dynamics biological invasion conservation biology dynamical systems

Authors and affiliations

  • Frithjof┬áLutscher
    • 1
  1. 1.Mathematics and StatisticsUniversity of OttawaOttawaCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-29294-2
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-29293-5
  • Online ISBN 978-3-030-29294-2
  • Series Print ISSN 0939-6047
  • Series Online ISSN 2196-9973
  • Buy this book on publisher's site