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 …
Response of a three-species cyclic ecosystem to a short-lived elevation of death rate
A balanced ecosystem with coexisting constituent species is often perturbed by different
natural events that persist only for a finite duration of time. What becomes important is …
natural events that persist only for a finite duration of time. What becomes important is …
Oppressed species can form a winning pair in a multi-species ecosystem
A Szolnoki, M Perc - Applied Mathematics and Computation, 2023 - Elsevier
The self-protection of alliances against external invaders is a key concept behind the
maintenance of biodiversity in the face of natural selection. But since these alliances, which …
maintenance of biodiversity in the face of natural selection. But since these alliances, which …
Reproduction-mobility trade-off in rock-paper-scissors models in changing environmental conditions
We investigate a tritrophic system in which organisms' energy depletion, resulting from failed
selection attempts, leads to a partial loss of capacity to win the cyclic spatial game. The …
selection attempts, leads to a partial loss of capacity to win the cyclic spatial game. The …
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 …
Spatiotemporal patterns in active four-state Potts models
H Noguchi - Scientific Reports, 2025 - nature.com
Many types of spatiotemporal patterns have been observed under nonequilibrium
conditions. Cycling through four or more states can provide specific dynamics, such as the …
conditions. Cycling through four or more states can provide specific dynamics, such as the …
Breaking unidirectional invasions jeopardizes biodiversity in spatial May-Leonard systems
D Bazeia, BF de Oliveira, JVO Silva… - Chaos, Solitons & Fractals, 2020 - Elsevier
Non-transitive dominance and the resulting cyclic loop of three or more competing species
provide a fundamental mechanism to explain biodiversity in biological and ecological …
provide a fundamental mechanism to explain biodiversity in biological and ecological …
Mortality makes coexistence vulnerable in evolutionary game of rock-paper-scissors
S Bhattacharyya, P Sinha, R De, C Hens - Physical Review E, 2020 - APS
Multiple species in the ecosystem are believed to compete cyclically for maintaining balance
in nature. The evolutionary dynamics of cyclic interaction crucially depends on different …
in nature. The evolutionary dynamics of cyclic interaction crucially depends on different …
Influence of the neighborhood on cyclic models of biodiversity
This work deals with the influence of the neighborhood in simple rock–paper–scissors
models of biodiversity. We consider the case of three distinct species which evolve under the …
models of biodiversity. We consider the case of three distinct species which evolve under the …