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.
