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String networks with junctions in competition models

P. P. Avelino, D. Bazeia, L. Losano, J. Menezes, B. F. Oliveira

Abstract
In this work we give specific examples of competition models, with six and eight species, whose three-dimensional dynamics naturally leads to the formation of string networks with junctions, associated with regions that have a high concentration of enemy species. We study the two- and three-dimensional evolution of such networks, both using stochastic network and mean field theory simulations. If the predation, reproduction and mobility probabilities do not vary in space and time, we find that the networks attain scaling regimes with a characteristic length roughly proportional to t1/2, where t is the physical time, thus showing that the presence of junctions, on its own, does not have a significant impact on their scaling properties.

Keywords
Population dynamics; String networks; Physics - Biological Physics

Physics Letters A
Volume 381, Number 11, Page 10
2017 March

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Instituto de Astrofísica e Ciências do Espaço Universidade do Porto Faculdade de Ciências da Universidade de Lisboa
Fundação para a Ciência e a Tecnologia COMPETE 2020 PORTUGAL 2020 União Europeia