The Mathematics Behind Biological Invasions

• Main Authors: Lewis, Mark A. (Author), Petrovskii, Sergei V. (Author), Potts, Jonathan R. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Interdisciplinary Applied Mathematics, 44
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Partial differential equations.; Biomathematics.; Statistics.; Mathematical and Computational Biology.; Statistics for Life Sciences, Medicine, Health Sciences.; Genetics and Population Dynamics.; Dynamical Systems and Ergodic Theory.; Partial Differential Equations.

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, populatio...

Table of 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.