arXiv Open Access 2018

On the shape of invading population in oriented environments

V. Blavatska

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Abstrak

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.

Topik & Kata Kunci

cond-mat.dis-nn cond-mat.soft

Penulis (1)

V. Blavatska

Format Sitasi

APA MLA BibTeX

Blavatska, V. (2018). On the shape of invading population in oriented environments. https://arxiv.org/abs/1806.07482

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓