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The mathematics behind biological invasions

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The mathematics behind biological invasions/ by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts.
Author:	Lewis, Mark A.
other author:	Petrovskii, Sergei V.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xvi, 362 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Biological invasions - Mathematical models. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-32043-4
ISBN:	9783319320434

The mathematics behind biological invasions
Lewis, Mark A.

The mathematics behind biological invasions[electronic resource] /by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts. - Cham :Springer International Publishing :2016. - xvi, 362 p. :ill., digital ;24 cm. - Interdisciplinary applied mathematics,v.440939-6047 ;. - Interdisciplinary applied mathematics ;38..

Introduction -- Dynamics of Biological Invasions -- Reaction-Diffusion Models: Single Species -- Invasion in a Multispecies System -- Long-Distance Dispersal and Spread -- A User's Guide to Integrodifference Models for Invasive Spread -- Stochasticity and Invasion Dynamics -- Stochastic Spread -- Assessing Invasion Risk -- Responding to invasions: Detection, control, and adaptation -- Appendix -- References -- Index.

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.

ISBN: 9783319320434

Standard No.: 10.1007/978-3-319-32043-4doiSubjects--Topical Terms:

1109381
Biological invasions
--Mathematical models.

LC Class. No.: QH353

Dewey Class. No.: 577.18015118

The mathematics behind biological invasions
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245 1 4 $a The mathematics behind biological invasions $h [electronic resource] / $c by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts.
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300 $a xvi, 362 p. : $b ill., digital ; $c 24 cm.
490 1 $a Interdisciplinary applied mathematics, $x 0939-6047 ; $v v.44
505 0 $a Introduction -- Dynamics of Biological Invasions -- Reaction-Diffusion Models: Single Species -- Invasion in a Multispecies System -- Long-Distance Dispersal and Spread -- A User's Guide to Integrodifference Models for Invasive Spread -- Stochasticity and Invasion Dynamics -- Stochastic Spread -- Assessing Invasion Risk -- Responding to invasions: Detection, control, and adaptation -- Appendix -- References -- Index.
520 $a 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.
650 0 $a Biological invasions $x Mathematical models. $3 1109381
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650 2 4 $a Mathematical and Computational Biology. $3 786706
650 2 4 $a Statistics for Life Sciences, Medicine, Health Sciences. $3 670172
650 2 4 $a Genetics and Population Dynamics. $3 670124
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Partial Differential Equations. $3 671119
700 1 $a Petrovskii, Sergei V. $3 1075468
700 1 $a Potts, Jonathan R. $3 1109380
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