Integrodifference equations in spatial ecology

著者
    • Lutscher, Frithjof
書誌事項

Integrodifference equations in spatial ecology

Frithjof Lutscher

(Interdisciplinary applied mathematics, v. 49)

Springer, c2019

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注記

Includes bibliographical references (p.363-380) and index

内容説明・目次

内容説明

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.

目次

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.

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詳細情報
  • NII書誌ID(NCID)
    BB29475907
  • ISBN
    • 9783030292935
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cham
  • ページ数/冊数
    xvi, 385 p.
  • 大きさ
    25 cm
  • 親書誌ID
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