Stochastic population dynamics in spatially extended predator–prey systems
Spatially extended population dynamics models that incorporate demographic noise serve
as case studies for the crucial role of fluctuations and correlations in biological systems …
as case studies for the crucial role of fluctuations and correlations in biological systems …
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 …
Uneven rock-paper-scissors models: Patterns and coexistence
We study a class of the stochastic May-Leonard models, with three species dominating each
other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We …
other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We …
The effect of habitats and fitness on species coexistence in systems with cyclic dominance
R Baker, M Pleimling - Journal of Theoretical Biology, 2020 - Elsevier
Cyclic dominance between species may yield spiral waves that are known to provide a
mechanism enabling persistent species coexistence. This observation holds true even in …
mechanism enabling persistent species coexistence. This observation holds true even in …
Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model
Stochastic simulations of cyclic three-species spatial predator-prey models are usually
performed in square lattices with nearest-neighbour interactions starting from random initial …
performed in square lattices with nearest-neighbour interactions starting from random initial …
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 …
Pattern formation and coarsening dynamics in apparent competition models
Apparent competition is an indirect interaction between species that share natural resources
without any mutual aggression but negatively affect each other if there is a common enemy …
without any mutual aggression but negatively affect each other if there is a common enemy …
Perturbing cyclic predator-prey systems: How a six-species coarsening system with nontrivial in-domain dynamics responds to sudden changes
S Esmaeili, BL Brown, M Pleimling - Physical Review E, 2018 - APS
Cyclic predator-prey systems have been shown to give rise to rich, and novel, space-time
patterns, as, for example, coarsening domains with nontrivial in-domain dynamics. In this …
patterns, as, for example, coarsening domains with nontrivial in-domain dynamics. In this …
Role of predator-prey reversal in rock-paper-scissors models
In this letter we consider a single parameter generalization of the standard three species
Rock-Paper-Scissors (RPS) model allowing for predator-prey reversal. This model, which …
Rock-Paper-Scissors (RPS) model allowing for predator-prey reversal. This model, which …