The Mathematics Behind Biological Invasions

You must be logged in to access this title.

Sign up now

Already a member? Log in

Synopsis

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.

Book details

Edition:
1st ed. 2016
Series:
Interdisciplinary Applied Mathematics (Book 44)
Author:
Mark A. Lewis, Sergei V. Petrovskii, Jonathan R. Potts
ISBN:
9783319320434
Related ISBNs:
9783319320427
Publisher:
Springer International Publishing
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2019-09-18
Usage restrictions:
Copyright
Copyright date:
2016
Copyright by:
Springer International Publishing, Cham 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Medicine, Nonfiction