Volume 142, Number 4, May 2023
|Number of page(s)||6|
|Published online||16 May 2023|
Role of predator-prey reversal in rock-paper-scissors models
1 Departamento de Física e Astronomia, Faculdade de Ciências, Universidade do Porto Rua do Campo Alegre s/n, 4169-007 Porto, Portugal
2 Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto, CAUP Rua das Estrelas, 4150-762 Porto, Portugal
3 Departamento de Física, Universidade Estadual de Maringá - 87020-900 Maringá, PR, Brazil
(a) E-mail: email@example.com (corresponding author)
Received: 22 December 2022
Accepted: 19 April 2023
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 κRPS model, incorporates bidirectional predator-prey interactions between 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 κRPS 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.
© 2023 EPLA
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.