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Item Details
Title: THE MATHEMATICS BEHIND BIOLOGICAL INVASIONS
By: Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts
Format: Hardback

List price: £64.99


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ISBN 10: 3319320424
ISBN 13: 9783319320427
Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Pub. date: 13 May, 2016
Edition: 1st ed. 2016
Series: Interdisciplinary Applied Mathematics 44
Pages: 362
Description: This book investigates the mathematical analysis of biological invasions. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes.
Synopsis: This book investigates the mathematical analysis of biological invasions. Unlike purely qualitative treatments of ecology, it draws on mathematical theory and methods, equipping the reader with sharp tools and rigorous methodology. Subjects include invasion dynamics, species interactions, population spread, long-distance dispersal, stochastic effects, risk analysis, and optimal responses to invaders. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes. Applications to real biological invasions are included throughout. Ultimately, the book imparts a powerful principle: that by bringing ecology and mathematics together, researchers can uncover new understanding of, and effective response strategies to, biological invasions. It is suitable for graduate students and established researchers in mathematical ecology.
Illustrations: 16 Tables, color; 19 Illustrations, color; 87 Illustrations, black and
Publication: Switzerland
Imprint: Springer International Publishing AG
Returns: Returnable
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