Instability of defensive alliances in the predator-prey model on complex networks

Abstract

A model of six-species food web is studied in the viewpoint of spatial interaction structures. Each species has two predators and two preys, and it was previously known that the defensive alliances of three cyclically predating species self-organize in two-dimensions. The alliance-breaking transition occurs as either the mutation rate is increased or interaction topology is randomized in the scheme of the Watts-Strogatz model. In the former case of temporal disorder, via the finite-size scaling analysis the transition is clearly shown to belong to the two-dimensional Ising universality class. In contrast, the geometric or spatial randomness for the latter case yields a discontinuous phase transition. The mean-field limit of the model is analytically solved and then compared with numerical results. The dynamic universality and the temporally periodic behaviors are also discussed.

arXiv comment5 pages

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Cited by in corpus (10)

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• Competition among alliances of different sizes
• Reentrant phase transition in a predator-prey model
• A polynomial-time approximation to a minimum dominating set in a graph
• Temporal Correlations of Local Network Losses
• Alliance free sets in Cartesian product graphs