Kessler David A, Sander Leonard M
Department of Physics, Bar-Ilan University, Ramat-Gan IL52900, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Oct;80(4 Pt 1):041907. doi: 10.1103/PhysRevE.80.041907. Epub 2009 Oct 6.
Dispersal of species to find a more favorable habitat is important in population dynamics. Dispersal rates evolve in response to the relative success of different dispersal strategies. In a simplified deterministic treatment [J. Dockery, V. Hutson, K. Mischaikow, and M. Pernarowski, J. Math. Biol. 37, 61 (1998)] of two species which differ only in their dispersal rates the slow species always dominates. We demonstrate that fluctuations can change this conclusion and can lead to dominance by the fast species or to coexistence, depending on parameters. We discuss two different effects of fluctuations and show that our results are consistent with more complex treatments that find that selected dispersal rates are not monotonic with the cost of migration.
物种扩散以寻找更适宜的栖息地在种群动态中很重要。扩散率会根据不同扩散策略的相对成功率而演变。在对仅扩散率不同的两个物种进行的简化确定性处理中[J. 多克里、V. 赫特森、K. 米沙伊科夫和M. 佩尔纳罗夫斯基,《数学生物学杂志》37卷,61页(1998年)],扩散慢的物种总是占主导地位。我们证明,波动可以改变这一结论,并且根据参数的不同,波动可能导致扩散快的物种占主导地位或导致共存。我们讨论了波动的两种不同影响,并表明我们的结果与更复杂的处理方法一致,这些方法发现所选的扩散率与迁移成本并非单调相关。