Cantrell R S, Cosner C
Department of Mathematics and Computer Science, University of Miami, Coral Gables, Florida 33124, USA.
Theor Popul Biol. 1999 Apr;55(2):189-207. doi: 10.1006/tpbi.1998.1397.
We construct models for dispersal of a population which incorporate the response of individuals to interfaces between habitat types. The models are based on random walks where there may be a bias in the direction an individual moves when it encounters an interface. This sort of dispersal process is called skew Brownian motion. Our models take the form of diffusion equations with matching conditions across the interface between regions for population densities and fluxes. We combine the dispersal models with linear population growth models which assume that the population growth rate differs between regions of different habitat types. We use those models to study issues of refuge design. We specifically consider how the effectiveness of buffer zones depends on their size, quality, and the population's response to the interface between the buffer zone and the refuge.
我们构建了种群扩散模型，该模型纳入了个体对栖息地类型之间界面的反应。这些模型基于随机游走，当个体遇到界面时，其移动方向可能存在偏差。这种扩散过程被称为倾斜布朗运动。我们的模型采用扩散方程的形式，在区域之间的界面处对种群密度和通量具有匹配条件。我们将扩散模型与线性种群增长模型相结合，该线性种群增长模型假设不同栖息地类型区域的种群增长率不同。我们使用这些模型来研究避难所设计问题。我们特别考虑缓冲区的有效性如何取决于其大小、质量以及种群对缓冲区与避难所之间界面的反应。
