Predominance of the weakest species in Lotka-Volterra and May-Leonard formulations of the rock-paper-scissors model

• Type: Article in International Scientific Journal
• Date: 2019

Authors

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

Journal

Title: Physical review. E

Vol. 100

ISSN: 2470-0045

Publisher: American Physical Society

Indexing

ISI Web of Knowledge - 30 Citations

Scopus - 32 Citations

Other information

Authenticus ID: P-00R-5N9

DOI: 10.1103/physreve.100.042209

Abstract (EN): We revisit the problem of the predominance of the "weakest" species in the context of Lotka-Volterra and May-Leonard formulations of a spatial stochastic rock-paper-scissors model in which one of the species has its predation probability reduced by 0 < P-w < 1. We show that, despite the different population dynamics and spatial patterns, these two formulations lead to qualitatively similar results for the late time values of the relative abundances of the three species (as a function of P-w), as long as the simulation lattices are sufficiently large for coexistence to prevail-the "weakest" species generally having an advantage over the others (specially over its predator). However, for smaller simulation lattices, we find that the relatively large oscillations at the initial stages of simulations with random initial conditions may result in a significant dependence of the probability of species survival on the lattice size.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7