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https://hdl.handle.net/2440/61656
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Type: | Journal article |
Title: | Invasions with density-dependent ecological parameters |
Author: | Balasuriya, S. |
Citation: | Journal of Theoretical Biology, 2010; 266(4):657-666 |
Publisher: | Academic Press Ltd |
Issue Date: | 2010 |
ISSN: | 0022-5193 1095-8541 |
Statement of Responsibility: | Sanjeeva Balasuriya |
Abstract: | The speed and the minimum carrying capacity needed for a successful population expansion into new territory are addressed using a reaction-diffusion model. The model is able to encapsulate a rich collection of ecological behaviours, including the Allee effect, resource depletion due to consumption, dispersal adaptation due to population pressure, biological control agents, and a range of breeding suppression mechanisms such as embryonic diapause, delayed development and sperm storage. It is shown how many of these phenomena can be characterised as density-dependence in a few fundamental ecological parameters. With the help of a powerful mathematical technique recently developed by Balasuriya and Gottwald (J. Math. Biol. 61, pp. 377–399, 2010), explicit formulae for the effect on the speed and minimum carrying capacity are obtained. |
Keywords: | Population spreading carrying capacity dispersal migration speed diffusion |
Rights: | © 2010 Elsevier |
DOI: | 10.1016/j.jtbi.2010.07.035 |
Published version: | http://dx.doi.org/10.1016/j.jtbi.2010.07.035 |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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