On the shape of invading population in anisotropic environments

Lavatska Viktoria B.

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On the shape of invading population in anisotropic environments

机译：论各向异性环境中侵袭人口的形状

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摘要

We analyze the properties of population spreading in environments with spatial anisotropy within the frames of a lattice model of asymmetric (biased) random walkers. The expressions for the universal shape characteristics of the instantaneous configuration of population, such as asphericity A and prolateness S are found analytically and proved to be dependent only on the asymmetric transition probabilities in different directions. The model under consideration is shown to capture, in particular, the peculiarities of invasion in presence of an array of oriented tubes (fibers) in the environment.

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来源
《Mathematical modelling of natural phenomena》 |2020年第1期|共12页
作者
Lavatska Viktoria B.;
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作者单位

Natl Acad Sci Ukraine Dept Comp Simulat Many Particle Syst Inst Condensed Matter Phys UA-79011 Lvov Ukraine;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Random walk; heterogeneous environment; biological invasion;

机译：随机步行;异质环境;生物入侵;

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On the shape of invading population in anisotropic environments

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