TY  - BOOK
AU  - Lewis,Mark A.
AU  - Petrovskii,Sergei V.
AU  - Potts,Jonathan R.
ED  - SpringerLink (Online service)
TI  - The Mathematics Behind Biological Invasions
T2  - Interdisciplinary Applied Mathematics,
SN  - 9783319320434
AV  - QH323.5 
U1  - 570.285 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Mathematics
KW  - Dynamics
KW  - Ergodic theory
KW  - Partial differential equations
KW  - Biomathematics
KW  - Statistics
KW  - Mathematical and Computational Biology
KW  - Statistics for Life Sciences, Medicine, Health Sciences
KW  - Genetics and Population Dynamics
KW  - Dynamical Systems and Ergodic Theory
KW  - Partial Differential Equations
KW  - Electronic books
KW  - local
N1  - 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
N2  - 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
UR  - http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-3-319-32043-4
ER  -