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Performance of Weak Species in the Simplest Generalization of the Rock-paper-scissors Model to Four Species by Avelino, P. P.; de Oliveira, B. F.; Trintin, R. S. is a scholarly article available to read on EtoBox.

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We investigate the problem of the predominance and survival of "weak" species in the context of the simplest generalization of the spatial stochastic rock-paper-scissors model to four species by considering models in which one, two, or three species have a reduced predation probability. We show, using lattice based spatial stochastic simulations with random initial conditions, that if only one of the four species has its probability reduced then the most abundant species is the prey of the "weakest" (assuming that the simulations are large enough for coexistence to prevail). Also, among the remaining cases, we present examples in which "weak" and "strong" species have similar average abundances and others in which either of them dominates -- the most abundant species being always a prey of a "weak" species with which it maintains a unidirectional predator-prey interaction. However, in contrast to the three-species model, we find no systematic difference in the global performance of "weak" and "strong" species, and we conjecture that the same result will hold if the number of species is further increased. We also determine the probability of single species survival and coexistence a

Author

Avelino, P. P.; de Oliveira, B. F.; Trintin, R. S.

Published

2020

Language

EN