期刊
JOURNAL OF THEORETICAL BIOLOGY
卷 317, 期 -, 页码 286-292出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jtbi.2012.10.024
关键词
Cyclic competition; Rock-Scissors-Paper
资金
- Brazilian Agency CNPq [PROSUL 490440/2007]
- Brazilian Agency Fapergs [BEX 0698/11]
- Brazilian Agency CAPES [CAPES/COFECUB 667/10]
Intransitivity is a property of connected, oriented graphs representing species interactions that may drive their coexistence even in the presence of competition, the standard example being the three species Rock-Paper-Scissors game. We consider here a generalization with four species, the minimum number of species allowing other interactions beyond the single loop (one predator, one prey). We show that, contrary to the mean field prediction, on a square lattice the model presents a transition, as the parameter setting the rate at which one species invades another changes, from a coexistence to a state in which one species gets extinct. Such a dependence on the invasion rates shows that the interaction graph structure alone is not enough to predict the outcome of such models. In addition, different invasion rates permit to tune the level of transitiveness, indicating that for the coexistence of all species to persist, there must be a minimum amount of intransitivity. (C) 2012 Elsevier Ltd. All rights reserved.
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