Extinction Criteria in Stage-Structured Population Models with Impulsive Culling
Extinction Criteria in Stage-Structured Population Models with Impulsive Culling
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DOI：
10.1137/050637777
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发表时间：
2006-08
期刊：
影响因子：
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通讯作者：
R. Simons;S. A. Gourley
中科院分区：
文献类型：
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作者：
R. Simons;S. A. Gourley
我们提出了阶段结构的种群模型，其成年成员受到淘汰的物种，以期了解淘汰制度，很可能导致灭绝的物种。一个纯粹的时间依赖性模型，提出了剔除发生在特定的离散时间，不一定等间隔。然后提出了一个反应扩散模型的情况下，成人可以扩散，在这个模型中的淘汰是连续的时间，但只发生在特定的离散点的空间。这种模型可能适用于昆虫信息素诱捕。对于这两个模型的条件是足够的物种灭绝。
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.