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 …
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 …
Enhancing coexistence of mobile species in the cyclic competition system by wildlife refuge
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 …
systems with considering a specific region, which is called the “wildlife refuge,” one of the …
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" …
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
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 …
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
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 …
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
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 …
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
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 …
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
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 …
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
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 …
biodiversity in nature, where mobility, reproduction and intransitive competition are on stage …