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 …

How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models

J Menezes, R Barbalho - Chaos, Solitons & Fractals, 2023 - Elsevier
We study generalised rock–paper–scissors models with an arbitrary odd number N≥ 5 of
species, among which n are weak, with 2≤ n≤(N− 1)/2. Because of the species' weakness …

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 …

Imitate or innovate: Competition of strategy updating attitudes in spatial social dilemma games

Z Danku, Z Wang, A Szolnoki - Europhysics Letters, 2018 - iopscience.iop.org
Evolution is based on the assumption that competing players update their strategies to
increase their individual payoffs. However, while the applied updating method can be …

Control attenuation and temporary immunity in a cellular automata SEIR epidemic model

M Mugnaine, EC Gabrick, PR Protachevicz… - Chaos, Solitons & …, 2022 - Elsevier
Mathematical modeling is an important tool to analyze impacts and plan to mitigate
epidemics in communities. In order to estimate the impact of control measures in a second …

Adaptive altruistic strategy in cyclic models during an epidemic

J Menezes, B Ferreira, E Rangel, B Moura - Europhysics Letters, 2022 - iopscience.iop.org
We investigate a cyclic game system where organisms face an epidemic beyond being
threatened by natural enemies. As a survival strategy, individuals of one out of the species …

Trade-off between reproduction and mobility prolongs organisms' survival in rock-paper-scissors models

J Menezes, E Rangel - Europhysics Letters, 2023 - iopscience.iop.org
We study the spatial rock-paper-scissors model, where resource competitors' cyclic
dominance impacts organisms' energy levels. Our model assumes that failed selection …

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" …

How local antipredator response unbalances the rock-paper-scissors model

J Menezes, S Batista, M Tenorio, E Triaca… - … Journal of Nonlinear …, 2022 - pubs.aip.org
Antipredator behavior is a self-preservation strategy present in many biological systems,
where individuals join the effort in a collective reaction to avoid being caught by an …

Hamming distance as a measure of spatial chaos in evolutionary games

G Alfaro, MAF Sanjuán - Physical Review E, 2024 - APS
From a context of evolutionary dynamics, social games can be studied as complex systems
that may converge to a Nash equilibrium. Nonetheless, they can behave in an unpredictable …