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The Mathematics Behind Biological Invasions

Mark A. Lewis - Personal Name; Sergei V. Petrovskii - Personal Name; Jonathan R. Potts - Personal Name;

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.


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Detail Information
Series Title
Interdisciplinary Applied Mathematics
Call Number
510
Publisher
Springer Cham : Springer Cham., 2016
Collation
XVI, 362
Language
English
ISBN/ISSN
978-3-319-32043-4
Classification
510
Content Type
text
Media Type
computer
Carrier Type
-
Edition
-
Subject(s)
Mathematical and Computational Biology
Specific Detail Info
-
Statement of Responsibility
Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts
Other Information
Cataloger
Jemadi
Source
https://link.springer.com/content/pdf/10.1007/978-3-319-32043-4.pdf?pdf=button
Validator
-
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