Diffusion, self-diffusion and cross-diffusion

Diffusion, self-diffusion and cross-diffusion
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DOI:
10.1006/jdeq.1996.0157
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发表时间:
1996-10-10
影响因子:
2.4
通讯作者:
Ni, WM
Ni, WM
中科院分区:
数学2区
文献类型:
--
作者:
Lou, Y;Ni, WM

文献摘要

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1979年,Shigesada等人提出了一个数学模型,在该模型中,除了扩散之外,两个竞争物种的运动还受到种群压力的影响,这些压力通常被称为自扩散和交叉扩散压力。我们希望,由于这些种间和种内相互作用而产生的非线性色散力可能会导致两个物种的空间隔离,而单独的扩散不能产生这种效果。到目前为止,对自扩散和交叉扩散的理解似乎仍然非常有限。
In 1979, Shigesada et al. proposed a mathematical model in which the movements of two competing species are also affected by, besides diffusion, the population pressures, which are usually referred to as self-diffusion and cross-diffusion pressures. It was hoped that the nonlinear dispersive force due to these inter-and intra-specific interactions may give rise to a spatial segregation of the two species, while diffusion alone can not have this type of effect. To this date, the understanding of self-diffusion and cross-diffusion seems still very limited.