The effect of habitats and fitness on species coexistence in systems with cyclic dominance
arXiv:1911.09268 · doi:10.1016/j.jtbi.2019.110084
Abstract
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 presence of spatial heterogeneity in the form of quenched disorder. In this work we study the effects on spatio-temporal patterns and species coexistence of structured spatial heterogeneity in the form of habitats that locally provide one of the species with an advantage. Performing extensive numerical simulations of systems with three and six species we show that these structured habitats destabilize spiral waves. Analyzing extinction events, we find that species extinction probabilities display a succession of maxima as function of time, that indicate a periodically enhanced probability for species extinction. Analysis of the mean extinction time reveals that as a function of the parameter governing the advantage of one of the species a transition between stable coexistence and unstable coexistence takes place. We also investigate how efficiency as a predator or a prey affects species coexistence.
arXiv comment21 pages, 9 figures, accepted for publication in Journal of Theoretical Biology
References in corpus (44)
- Evolutionary games on graphs
- Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
- Cyclic dominance in evolutionary games: A review
- Fixation of strategies for an evolutionary game in finite populations
- Noise and Correlations in a Spatial Population Model with Cyclic Competition
- Self-Organization of Mobile Populations in Cyclic Competition
- Stochastic population dynamics in spatially extended predator-prey systems
- Cyclical interactions with alliance-specific heterogeneous invasion rates
- Instability of spatial patterns and its ambiguous impact on species diversity
- Spatial Rock-Paper-Scissors Models with Inhomogeneous Reaction Rates
- Junctions and spiral patterns in Rock-Paper-Scissors type models
- Evolutionary dynamics of cooperation in neutral populations
- Chemical warfare and survival strategies in bacterial range expansions
- Phase transition and selection in a four-species cyclic Lotka-Volterra model
- Diverging fluctuations in a spatial five-species cyclic dominance game
- Phase transition in a spatial Lotka-Volterra model
- Defensive alliances in spatial models of cyclical population interactions
- Characterization of spiraling patterns in spatial rock-paper-scissors games
- Von-Neumann's and related scaling laws in Rock-Paper-Scissors type models
- Imitate or innovate: competition of strategy updating attitudes in spatial social dilemma games
- Self-organizing patterns maintained by competing associations in a six-species predator-prey model
- Reentrant phase transitions and defensive alliances in social dilemmas with informed strategies
- Competing associations in six-species predator-prey models
- Cyclic competition of four species: domains and interfaces
- Segregation process and phase transition in cyclic predator-prey models with even number of species
- When does cyclic dominance lead to stable spiral waves?
- Phase transitions induced by variation of invasion rates in spatial cyclic predator-prey models with four or six species
- Co-existence in the two-dimensional May-Leonard model with random rates
- Interplay between partnership formation and competition in generalized May-Leonard games
- Interfaces with internal structures in generalized rock-paper-scissors models
- Uneven rock-paper-scissors models: patterns and coexistence
- Environmental vs. demographic variability in two-species predator-prey models
- String networks in Z_N Lotka-Volterra competition models
- Spatial patterns and biodiversity in off-lattice simulations of a cyclic three-species Lotka-Volterra model
- Global attractors and extinction dynamics of cyclically competing species
- A theoretical approach to understand spatial organization in complex ecologies
- Evolutionary dynamics and competition stabilize three-species predator-prey communities
- Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
- Coarsening with non-trivial in-domain dynamics: correlations and interface fluctuations
- Perturbing cyclic predator-prey systems: how a six-species coarsening system with non-trivial in-domain dynamics responds to sudden changes
- Spirals and coarsening patterns in the competition of many species: A complex Ginzburg-Landau approach
- Dynamically generated hierarchies in games of competition
- String networks with junctions in competition models
- Rock-paper-scissors played within competing domains in predator-prey games
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- Pattern formations driven by cyclic interactions: a brief review of recent developments
- Strategy dependent learning activity in cyclic dominant systems
- Competition of alliances in a cyclically dominant eight-species population
- Emerging solutions from the battle of defensive alliances
- Breaking unidirectional invasions jeopardizes biodiversity in spatial May-Leonard systems
- Environment driven oscillation in an off-lattice May--Leonard model
- Equal partners do better in defensive alliances
- Effects of a pestilent species on the stability of cyclically dominant species
- When faster rotation is harmful: the competition of alliances with inner blocking mechanism
- Oppressed species can form a winning pair in a multi-species ecosystem
- Competition among alliances of different sizes
- Computing macroscopic reaction rates in reaction-diffusion systems using Monte Carlo simulations
- Suppressing defection by increasing temptation: the impact of smart cooperators on a social dilemma situation
- Non-Markovian Rock-Paper-Scissors games