| Description |
217 pages : illustrations, 1 map ; 25 cm |
| Series |
Chapman & Hall/CRC mathematical biology and medicine series |
|
Chapman & Hall/CRC mathematical biology and medicine series.
|
| Contents |
1. Introduction -- 2. Models of biological invasion -- 3. Basic methods and relevant examples -- 4. Single-species models -- 5. Density-dependent diffusion -- 6. Models of interacting populations -- 7. Some alternative and complementary approaches -- 8. Ecological examples and applications -- 9. Appendix : basic background mathematics |
| Summary |
"Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of partial differential equations that describe nonlinear problems encountered in the study of invasive species spread. With emphasis on PDEs of diffusion-reaction type, the authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. In doing so, they also provide new insight into important issues such as the impact of the Allee effect, the impact of predation, and the interplay between different modes of species dispersal. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice."--BOOK JACKET |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Biological invasions -- Mathematical models.
|
| Author |
Li, Bai-Lian.
|
| LC no. |
2005048466 |
| ISBN |
9781584885214 : |
|
1584885211 : |
|
