Biological Invasions: Theory and PracticeOxford University Press, UK, Feb 6, 1997 - 218 pages This book deals with the ecological effect a species can have when it moves into an environment that it has not previously occupied (commonly referred to as an 'Invasion'). It is unique in presenting a clear and accessible introduction to a highly complex area - the modelling of biological invasions. The book presents the latest theories and models developed from studies into this crucial area. It includes data and examples from biological case studies showing how the models can be applied to the study of invasions, whether dealing with AIDS, the European rabbit, or prickly pear cactuses. - ;In nature, all organisms migrate or disperse to some extent, either by walking, swimming, flying, or being transported by wind or water. When a species succeeds in colonising an area that it has not previously inhabited, this is referred to as an `invasion'. Humans can precipitate biological invasions often spreading disease or pests by their travels around the world. Using the large amount of data that has been collected from studies worldwide, ranging from pest control to epidemiology, it has been possible to construct mathematical models that can predict which species will become an invader, what kind of habitat is susceptible to invasion by a particular species, and how fast an invasion will spread if it occurs. This book presents a clear and accessible introduction to this highly complex area. Included are data and examples from biological case studies showing how these models can be applied to the study of invasions, whether dealing with AIDS, the European rabbit, or prickly pear cactuses. - |
Contents
Introduction | 1 |
Diffusion models and biological waves | 35 |
8 | 52 |
Travelling waves in heterogeneous environments | 61 |
Invasion by stratified diffusion | 79 |
Invasion of competing species | 104 |
Competition for open space | 114 |
Invasion of predators | 133 |
Epidemic models and propagation of infectious diseases | 144 |
Invasion of rabies in Europe | 166 |
| 186 | |
| 201 | |
Common terms and phrases
Andow b₁ basic reproductive rate Biological Invasions c₁ carrying capacity coexist competition condition constant rate Crel curve D₁ D₂ diffusion coefficient diffusion equation disease distribution disturbance E₂ Ecology environment epidemic establishment phase estimated European starling extinction favourable Fisher equation fox per km² front given by eqn grey squirrel gypsy moth habitat host house finch increase intrinsic growth rate invading species J. A. Drake K₁ km/year l₁ L₂ leap distance Levin long-distance dispersal long-distance migrants measles muskrat myxoma virus North America obtain offspring colonies Okubo open space parasitoids Phase plane population density predator primary colony rabies radial distance range distance range expansion rate of spread reproduction resident species respectively Shigesada shown in Fig shows Skellam solution of eqn spatial spread spread rate stochastic susceptible threshold density travelling frontal wave travelling periodic wave travelling wave unfavourable patches velocity width