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＜電子ブック＞
The Mathematics Behind Biological Invasions / by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts
(Interdisciplinary Applied Mathematics. ISSN:21969973 ; 44)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
本文言語	英語
大きさ	XVI, 362 p. 106 illus., 19 illus. in color : online resource
著者標目	*Lewis, Mark A author Petrovskii, Sergei V author Potts, Jonathan R author SpringerLink (Online service)
件　名	LCSH:Biomathematics LCSH:Biometry LCSH:Population genetics LCSH:Dynamical systems LCSH:Differential equations FREE:Mathematical and Computational Biology FREE:Biostatistics FREE:Population Genetics FREE:Dynamical Systems FREE:Differential Equations
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-32043-4

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