The Mathematics Behind Biological Invasions (Paperback, Softcover reprint of the original 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Interdisciplinary Applied Mathematics, 44
Release date:	May 2018
First published:	2016
Authors:	Mark A. Lewis • Sergei V. Petrovskii • Jonathan R Potts
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Paperback
Pages:	362
Edition:	Softcover reprint of the original 1st ed. 2016
ISBN-13:	978-3-319-81182-6
Categories:	Books > Medicine > General issues > Public health & preventive medicine > Epidemiology & medical statistics Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	3-319-81182-7
Barcode:	9783319811826

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