The Mathematics Behind Biological Invasions

Nonfiction, Health & Well Being, Medical, Reference, Biostatistics, Science & Nature, Mathematics, Applied, Science
Cover of the book The Mathematics Behind Biological Invasions by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts, Springer International Publishing
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Author: Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts ISBN: 9783319320434
Publisher: Springer International Publishing Publication: May 5, 2016
Imprint: Springer Language: English
Author: Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts
ISBN: 9783319320434
Publisher: Springer International Publishing
Publication: May 5, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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