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Extinction criteria in stage-structured population models with impulsive culling

Simons, RRL and Gourley, SA (2006) Extinction criteria in stage-structured population models with impulsive culling SIAM JOURNAL ON APPLIED MATHEMATICS, 66 (6). 1853 - 1870. ISSN 0036-1399

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Abstract

We propose stage-structured population models for species whose adult members are subject to culling, with a view to understanding the culling regimes that are likely to result in eradication of the species. A purely time-dependent model is proposed in which culling occurs at particular discrete times, not necessarily equally spaced. Then a reaction-diffusion model is proposed for a situation in which the adults can diffuse; in this model the culling is continuous in time but occurs only at particular discrete points in space. Such a model might be appropriate for pheromone trapping of insects. For both models conditions are obtained that are sufficient for species eradication.

Item Type: Article
Uncontrolled Keywords: Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, stage-structure, delay, impulse, pest control, EPIDEMIC MODELS, DELAY
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Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:42
Last Modified: 23 Sep 2013 18:33
URI: http://epubs.surrey.ac.uk/id/eprint/1540

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