Pattern formations driven by cyclic interactions: A brief review of recent developments

A Szolnoki, BF De Oliveira, D Bazeia - Europhysics Letters, 2020 - iopscience.iop.org
Lotka's seminal work (Lotka AJ, Proc. Natl. Acad. Sci. USA, 6 (1920) 410)" on certain
rhythmic relations" is already one hundred years old, but the research activity about pattern …

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

PP Avelino, BF de Oliveira, RS Trintin - Physical Review E, 2019 - APS
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 …

Enhancing coexistence of mobile species in the cyclic competition system by wildlife refuge

Y Lu, C Shen, M Wu, C Du, L Shi, J Park - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
We investigate evolving dynamics of cyclically competing species on spatially extended
systems with considering a specific region, which is called the “wildlife refuge,” one of the …

Weak species in rock-paper-scissors models

PP Avelino, BF de Oliveira, RS Trintin - Europhysics Letters, 2021 - iopscience.iop.org
In this letter, we investigate the population dynamics in a May-Leonard formulation of the
rock-paper-scissors (RPS) game in which one or two species, which we shall refer to as" …

Expanding spatial domains and transient scaling regimes in populations with local cyclic competition

PP Avelino, J Menezes, BF de Oliveira, TA Pereira - Physical Review E, 2019 - APS
We investigate a six-species class of May-Leonard models leading to the formation of two
types of competing spatial domains, each one inhabited by three species with their own …

Effects of species vigilance on coexistence in evolutionary dynamics of spatial rock–paper–scissors game

Y Lu, X Wang, M Wu, L Shi, J Park - Chaos: An Interdisciplinary Journal …, 2022 - pubs.aip.org
Recognizing surrounding situations, such as enemy attacks, which can be realized by
predator–prey relationships, is one of the common behaviors of the population in …

Performance of weak species in the simplest generalization of the rock-paper-scissors model to four species

PP Avelino, BF De Oliveira, RS Trintin - Physical Review E, 2020 - APS
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 …

Parity effects in rock-paper-scissors type models with a number of species NS≤ 12

PP Avelino, BF De Oliveira, RS Trintin - Chaos, Solitons & Fractals, 2022 - Elsevier
We investigate the impact of parity on the abundance of weak species in the context of the
simplest generalization of the rock-paper-scissors model to an arbitrary number of species …

Effects of a pestilent species on the stability of cyclically dominant species

D Bazeia, M Bongestab, BF de Oliveira… - Chaos, Solitons & …, 2021 - Elsevier
Cyclic dominance is frequently believed to be a mechanism that maintains diversity of
competing species. But this delicate balance could also be fragile if some of the members is …

Phase transitions in dependence of apex predator decaying ratio in a cyclic dominant system

D Bazeia, BF de Oliveira, A Szolnoki - Europhysics Letters, 2018 - iopscience.iop.org
Cyclic dominant systems, like rock-paper-scissors game, are frequently used to explain
biodiversity in nature, where mobility, reproduction and intransitive competition are on stage …