Clustering of diffusing organisms.

Clustering of diffusing organisms.
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扩散生物的聚集。

DOI:
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发表时间:
2002
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
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通讯作者:
B. Houchmandzadeh
B. Houchmandzadeh
中科院分区:
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文献类型:
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作者:
B. Houchmandzadeh

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最近,“布朗虫”模型被提出作为浮游生物聚集的可能解释[W.R.Young,A.J.Roberts,和G.Stuhne,自然(伦敦)412,328(2001)]。在这个模型中,扩散的生物体以相等的概率死亡和生育,并且彼此独立。这种集聚现象是由于出生和死亡事件的离散性造成的,不能用人口动力学的连续模型框架来解释。我们通过精确计算表明,在维度小于或等于2的情况下,这个简单的机制足以激发生物体的聚集。在维度高于2的情况下,聚集现象消失,但与扩散的相比,生殖波动仍然可能很大。
Recently, a "Brownian bugs" model has been proposed as a possible explanation for the clustering of organisms such as planktons [W.R. Young, A.J. Roberts, and G. Stuhne, Nature (London) 412, 328 (2001)]. In this model, diffusing organisms die and give birth with equal probabilities and are independent of each other. The clustering phenomenon is due to the discreteness of birth and death events and cannot be explained in the framework of the continuous model of population dynamics. We show by exact calculation that at dimensions smaller than or equal to 2, this simple mechanism is enough to provoke aggregations of the organisms. At dimensions higher than 2, the clustering phenomenon disappears, but reproductive fluctuations can still be large compared to diffusive ones.