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The mathematics behind biological in...

Lewis, Mark A.

The mathematics behind biological invasions

Record Type:	Electronic resources : Monograph/item
Title/Author:	The mathematics behind biological invasionsby 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 invasionsMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-32043-4
ISBN:	9783319320434$q(electronic bk.)

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 ;v. 21..

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$q(electronic bk.)

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

747929
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.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
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 747929
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650 2 4 $a Mathematical and Computational Biology. $3 514442
650 2 4 $a Statistics for Life Sciences, Medicine, Health Sciences. $3 274067
650 2 4 $a Genetics and Population Dynamics. $3 274842
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Partial Differential Equations. $3 274075
700 1 $a Petrovskii, Sergei V. $3 747927
700 1 $a Potts, Jonathan R. $3 747928
710 2 $a SpringerLink (Online service) $3 273601
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