Approaches to Mathematical Modeling of Biological Invasions

With potentially dangerous biological invasions increasing due to rises in international trade and travel, research in invasion biology becomes increasingly relevant.

Mathematical models form an integral part of this research. This book presents:
begin{itemize
item research on mathematical modeling of biological invasions,
item different forms of differential equations such as ordinary differential equations, reaction-diffusion models, and stochastic differential equations,
item detailed investigations as well as a thorough introduction to dynamical systems.
end{itemize

Subjects range from theoretical to applied models on fascinating case studies, including:
begin{itemize
item investigating how phenomena such as inducible defense or group defense can be incorporated into mathematical models,
item investigating how selective infections can influence the dispersal of invasive species,
item investigating how invasive mammals in New Zealand can be controlled to rescue the national bird, the Kiwi.
end{itemize

The book is well suited not only for accomplished researchers but also for students with limited quantitative background interested in studying biological invasions.