Math. Model. Nat. Phenom.
Volume 15, 2020
|Number of page(s)||12|
|Published online||14 February 2020|
On the shape of invading population in anisotropic environments
Department for Computer Simulations of Many-Particle Systems, Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine,
* Corresponding author: firstname.lastname@example.org
Accepted: 19 October 2019
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.
Mathematics Subject Classification: 60G50 / 62P10 / 65C60
Key words: Random walk / heterogeneous environment / biological invasion
© EDP Sciences, 2020
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.