<p>Numerical modeling of population 2D-dynamics with nonlocal interaction</p>

Borisov A.V.; Trifonov A.Y.; Shapovalov A.V.

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Numerical modeling of population 2D-dynamics with nonlocal interaction

Borisov A.V., Trifonov A.Y., Shapovalov A.V.

pdf (1250K) / List of references

Numerical solutions for the two-dimensional reaction-diffusion equation with nonlocal nonlinearity are obtained. The solutions reveal formation of dissipative structures. Structures arising from initial distributions with one and several centers of localization are considered. Formation of extending circular structures is shown. Peculiarities of formation and interaction of extending circular structures depending on nonlocal interaction are considered.

Keywords: reaction−diffusion systems, nonlocal interactions, circular pattern formation

Citation in English: Borisov A.V., Trifonov A.Y., Shapovalov A.V. Numerical modeling of population 2D-dynamics with nonlocal interaction // Computer Research and Modeling, 2010, vol. 2, no. 1, pp. 33-40

DOI: 10.20537/2076-7633-2010-2-1-33-40

URL: http://crm-en.ics.org.ru/journal/article/1647/

Computer Research and Modeling - 2010 - Issue 1

This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.

According to Crossref, this article is cited by:

Aleksei Vladimirovich Borisov, L. A. Krasnobaeva, Aleksandr Vasilievich Shapovalov. Influence of diffusion and convection on the chemostat dynamics. // Computer Research and Modeling. — 2012. — V. 4, no. 1. — P. 121. DOI: 10.20537/2076-7633-2012-4-1-121-129
Aleksandr Vasilievich Shapovalov, Andrey Yur’evich Trifonov, Aleksei Vladimirovich Borisov. Convection effect on two-dimensional dynamics in the nonlocal reaction-diffusion model. // Computer Research and Modeling. — 2011. — V. 3, no. 1. — P. 55. DOI: 10.20537/2076-7633-2011-3-1-55-61

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