大葉大學圖書館 |

The mathematics behind biological invasions[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	577.18015118
書名/作者:	The mathematics behind biological invasions/ by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts.
作者:	Lewis, Mark A.
其他作者:	Petrovskii, Sergei V.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	xvi, 362 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Biological invasions - Mathematical models.
標題:	Mathematics.
標題:	Mathematical and Computational Biology.
標題:	Statistics for Life Sciences, Medicine, Health Sciences.
標題:	Genetics and Population Dynamics.
標題:	Dynamical Systems and Ergodic Theory.
標題:	Partial Differential Equations.
ISBN:	9783319320434
ISBN:	9783319320427
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-32043-4

The mathematics behind biological invasions[electronic resource] /
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 ;37..

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:

647268
Biological invasions
--Mathematical models.

LC Class. No.: QH353

Dewey Class. No.: 577.18015118

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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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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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