Spreading speed revisited: Analysis of a free boundary model
Spreading speed revisited: Analysis of a free boundary model
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DOI：
10.3934/nhm.2012.7.583
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发表时间：
2012-12
期刊：
影响因子：
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通讯作者：
Gary Bunting;Yihong Du;K. Krakowski
中科院分区：
文献类型：
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作者：
Gary Bunting;Yihong Du;K. Krakowski
我们从更生态的角度研究了[11]和[8]中考虑的一个自由边界模型，该模型描述了一个新的或入侵物种的传播，其中自由边界代表了传播前沿。我们考虑了扩散前沿的“人口损失”，导出了自由边界条件，并纠正了文[11]中关于传播速度范围的一些错误。然后，我们使用数值模拟来获得对该模型的进一步了解，这可能有助于确定其在具体生态情况下的实用性。
We investigate, from a more ecological point of view, a free boundary model considered in [11] and [8] that describes the spreading of a new or invasive species, with the free boundary representing the spreading front. We derive the free boundary condition by considering a "population loss" at the spreading front, and correct some mistakes regarding the range of spreading speed in [11]. Then we use numerical simulation to gain further insights to the model, which may help to determine its usefulness in concrete ecological situations.