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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.
Description:	XVI, 362 p. 106 illus., 19 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Biomathematics. -
Online resource:	https://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. - 1st ed. 2016. - XVI, 362 p. 106 illus., 19 illus. in color.online resource. - Interdisciplinary Applied Mathematics,440939-6047 ;. - Interdisciplinary Applied Mathematics,19.

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:

527725
Biomathematics.

LC Class. No.: QH323.5

Dewey Class. No.: 570.285

The Mathematics Behind Biological Invasions
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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.
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