title: 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.
authors.affiliation: Department of Molecular Science and Technology, Ajou University, Suwon 442-749, Korea. beomjun@ajou.ac.kr
authors.forename: Beom Jun
authors.initials: BJ
authors.lastname: Kim
authors.forename: Jianbin
authors.initials: J
authors.lastname: Liu
authors.forename: Jaegon
authors.initials: J
authors.lastname: Um
authors.forename: Sung-Ik
authors.initials: SI
authors.lastname: Lee
mesh_terms: D000818:Animals; D003198:Computer Simulation; D003299:Cooperative Behavior; D017753:Ecosystem; D020387:Food Chain; D006801:Humans; D008954:Models, Biological; D011157:Population Dynamics; D011235:Predatory Behavior; D013045:Species Specificity