Collective strategies and cyclic dominance in asymmetric predator-prey spatial games

Predators may attack isolated or grouped prey in a cooperative, collective way. Whether a gregarious behavior is advantageous to each species depends on several conditions and game theory is a useful tool to deal with such a problem. We here extend the Lett et al. (2004) to spatially distributed pop...

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Bibliographic Details
Published in:Journal of theoretical biology 2017-10, Vol.430, p.45-52
Main Authors: Cazaubiel, Annette, Lütz, Alessandra F., Arenzon, Jeferson J.
Format: Article
Language:English
Subjects:
Animals
Collective hunting
Competitive Behavior
Cooperative Behavior
Cyclic dominance
Flocking
Games, Experimental
Models, Biological
Models, Theoretical
Population Dynamics
Predatory Behavior
Rock-Paper-Scissors game
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Summary:Predators may attack isolated or grouped prey in a cooperative, collective way. Whether a gregarious behavior is advantageous to each species depends on several conditions and game theory is a useful tool to deal with such a problem. We here extend the Lett et al. (2004) to spatially distributed populations and compare the resulting behavior with their mean-field predictions for the coevolving densities of predator and prey strategies. Besides its richer behavior in the presence of spatial organization, we also show that the coexistence phase in which collective and individual strategies for each group are present is stable because of an effective, cyclic dominance mechanism similar to a well-studied generalization of the Rock-Paper-Scissors game with four species, a further example of how ubiquitous this coexistence mechanism is.
ISSN:0022-5193
1095-8541
DOI:10.1016/j.jtbi.2017.07.002