Smith Andrew G, McVinish Ross, Pollett Philip K
School of Mathematics and Physics, University of Queensland, St Lucia 4072, Queensland.
School of Mathematics and Physics, University of Queensland, St Lucia 4072, Queensland.
Math Biosci. 2014 Jan;247:69-79. doi: 10.1016/j.mbs.2013.11.001. Epub 2013 Nov 23.
We develop a stochastic metapopulation model that accounts for spatial structure as well as within patch dynamics. Using a deterministic approximation derived from a functional law of large numbers, we develop conditions for extinction and persistence of the metapopulation in terms of the birth, death and migration parameters. Interestingly, we observe the Allee effect in a metapopulation comprising two patches of greatly different sizes, despite there being decreasing patch specific per-capita birth rates. We show that the Allee effect is due to the way the migration rates depend on the population density of the patches.
我们开发了一种随机集合种群模型,该模型考虑了空间结构以及斑块内动态。利用从大数函数定律推导出来的确定性近似,我们根据出生、死亡和迁移参数,得出了集合种群灭绝和持续存在的条件。有趣的是,我们在一个由两个大小差异极大的斑块组成的集合种群中观察到了阿利效应,尽管斑块特定的人均出生率在下降。我们表明,阿利效应是由于迁移率依赖于斑块种群密度的方式所致。