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About this book
Deriving general principles from biological case studies, this book provides a clear and accessible exposition of the mathematical models of biological invasions that occur on a global scale. Topics include invasion into patchy environments, invasion by stratified diffusion involving both short- and long-range dispersal, competition for space between invading and native species, invasions of parasites, and the spread of epidemic diseases.
Contents
Introduction; 1. Invasion of alien species; 2. Diffusion models and biological waves; 3. Travelling waves in heterogeneous environments; 4. Invasion by stratified diffusion; 5. Invasion of competing species; 6. Competition for open space; 7. Invasion of predators; 8. Epidemic models and propagation of infectious diseases; 9. Invasion of rabies in Europe
Customer Reviews
By: Nanako Shigesada and Kohkichi Kawasaki
205 pages, Figs, tabs
"The authors have collaborated on a wonderful exposition of how biological invasions take place. They review many instances of invasions and show how the spread of an invasion can be predicted by mathematical models. The book is beautifully written and exhibits a lovely balance between mathematical and empirical topics. Shigesada and Kawasaki present ten chapters in a length that allows depth while avoiding encyclopedic drudgery. . . . The authors are distinguished biologists who have contributed much of the original work about modeling invasions. Enough mathematical detail is presented in appendixes to allow all the results in the book to be rederived, making the book completely self-contained. It is a 'must buy' for any ecologist, ecological economist, conservation biologist or wildlife manager."--The Quarterly Review of Biology
Biological Invasions: Theory and Practice focuses on one of the major topics in mathematical ecology--the dispersion of organisms from one locality to