Role of predator-prey reversal in rock-paper-scissors models

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Avelino, PP (Author) FCUP; de Oliveira, BF (Author) Other; Trintin, RS (Author) Other

Journal

Title: Europhysics Letters

Vol. 142

ISSN: 0295-5075

Publisher: Institute of Physics Publishing

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-00Y-E7K

DOI: 10.1209/0295-5075/acce62

Abstract (EN): In this letter we consider a single parameter generalization of the standard three species Rock-Paper-Scissors (RPS) model allowing for predator-prey reversal. This model, which shall be referred to as kappa RPS model, incorporates bidirectional predator-prey interactions be-tween all the species in addition to the unidirectional predator-prey interactions of the standard RPS model. We study the dynamics of a May-Leonard formulation of the kappa RPS model using lattice-based spatial stochastic simulations with random initial conditions. We find that if the simulation lattices are sufficiently large for the coexistence of all three species to be maintained, the model asymptotically leads to the formation of spiral patterns whose evolution is qualitatively similar to that of the standard RPS model, albeit with larger characteristic length and time scales. We show that if the likelihood of predator-prey reversal is sufficiently large there are two distinct scaling regimes: one transient curvature dominated regime in which the characteristic length of the population network grows with time and another where it becomes a constant. We also estimate the dependence of the asymptotic value of the characteristic length of the population network on the likelihood of predator-prey reversal and show that if the simulation lattices are not sufficiently large then predator-prey reversal could potentially have a negative impact on coexistence. Finally, we interpret these results by considering the much simpler dynamics of circular domains.Copyright (c) 2023 EPLA

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7