The Resource The Mathematics Behind Biological Invasions, by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts, (electronic resource)

The Mathematics Behind Biological Invasions, by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts, (electronic resource)

Label
The Mathematics Behind Biological Invasions
Title
The Mathematics Behind Biological Invasions
Statement of responsibility
by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Lewis, Mark A
Image bit depth
0
LC call number
  • QH323.5
  • QH324.2-324.25
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Petrovskii, Sergei V.
  • Potts, Jonathan R.
  • SpringerLink
Series statement
Interdisciplinary Applied Mathematics,
Series volume
44
http://library.link/vocab/subjectName
  • Mathematics
  • Dynamics
  • Ergodic theory
  • Partial differential equations
  • Biomathematics
  • Statistics
  • Mathematics
  • Mathematical and Computational Biology
  • Statistics for Life Sciences, Medicine, Health Sciences
  • Genetics and Population Dynamics
  • Dynamical Systems and Ergodic Theory
  • Partial Differential Equations
Label
The Mathematics Behind Biological Invasions, by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XVI, 362 p. 106 illus., 19 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319320434
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-32043-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-32043-4
Label
The Mathematics Behind Biological Invasions, by Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
XVI, 362 p. 106 illus., 19 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319320434
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-32043-4
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-32043-4

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