String networks with junctions in competition models

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 $t^{1/2}$, 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.

v2, 10 pages, 11 figures

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• Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
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• Pattern formation and coarsening dynamics in apparent competition models
• Death by starvation in May-Leonard models
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• Role of predator-prey reversal in Rock-Paper-Scissors models
• Spatial dynamics of synergistic coinfection in rock-paper-scissors models