Pattern formations driven by cyclic interactions: A brief review of recent developments
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 …
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 …
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
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 …
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
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 …
increase their individual payoffs. However, while the applied updating method can be …
Control attenuation and temporary immunity in a cellular automata SEIR epidemic model
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 …
epidemics in communities. In order to estimate the impact of control measures in a second …
Adaptive altruistic strategy in cyclic models during an epidemic
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 …
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
We study the spatial rock-paper-scissors model, where resource competitors' cyclic
dominance impacts organisms' energy levels. Our model assumes that failed selection …
dominance impacts organisms' energy levels. Our model assumes that failed selection …
Weak species in rock-paper-scissors models
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" …
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
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 …
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 …
that may converge to a Nash equilibrium. Nonetheless, they can behave in an unpredictable …