Self-organization of five species in a cyclic competition game

Feng, Shasha; Chengcang, Qiang

doi:10.1016/j.physa.2013.05.033

Cited by 16 publications

(8 citation statements)

References 26 publications

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“…In this work we simulated locally competitive interactions in a spatial LV framework to provide evidence that–within the given range of structural scales and competitive interaction parameters– in silico ecosystems that exist in structured environments and exhibit all-to-all (ATA) competition can avoid the competitive exclusion that is essentially guaranteed in spatially isotropic systems. Other well-known ecological ‘games’, such as rock-paper-scissors (RPS) and its higher species-number analogs [ 77 , 89 ], are also examples of ATA competition. That is, values in the matrix P that produce stable intransitive (e.g.…”

Section: Discussionmentioning

confidence: 99%

“…Stochasticity enters our simulations through the random initial conditions, disorder, and random samplings of the interaction parameters. A number of excellent studies have examined low-N systems using fully stochastic dynamics [75][76][77][78][79], revealing quantitative differences between deterministic and stochastic models, as well as qualitative differences over long time scales where stochastic fluctuations can drive a system into new parts of phase space, for example, into extinction cascades [80,81] or mobility-dependent coexistence [75,77,82]. Similarly, recent work [83] examined how non-diffusive mobility (i.e.…”

Section: Competition and Structural Modelmentioning

confidence: 99%

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Structured environments foster competitor coexistence by manipulating interspecies interfaces

Ursell

2021

PLoS Comput Biol

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Natural environments, like soils or the mammalian gut, frequently contain microbial consortia competing within a niche, wherein many species contain genetically encoded mechanisms of interspecies competition. Recent computational work suggests that physical structures in the environment can stabilize local competition between species that would otherwise be subject to competitive exclusion under isotropic conditions. Here we employ Lotka-Volterra models to show that interfacial competition localizes to physical structures, stabilizing competitive ecological networks of many species, even with significant differences in the strength of competitive interactions between species. Within a limited range of parameter space, we show that for stable communities the length-scale of physical structure inversely correlates with the width of the distribution of competitive fitness, such that physical environments with finer structure can sustain a broader spectrum of interspecific competition. These results highlight the potentially stabilizing effects of physical structure on microbial communities and lay groundwork for engineering structures that stabilize and/or select for diverse communities of ecological, medical, or industrial utility.

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Section: Discussionmentioning

confidence: 99%

Section: Competition and Structural Modelmentioning

confidence: 99%

Structured environments foster competitor coexistence by manipulating interspecies interfaces

Ursell

2021

PLoS Comput Biol

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“…It has also been widely observed in cyclic game models of the dominance of inferior species (e.g., [17][18][19] ). Studies on an extension of the rock-paper-scissors game, named the finger game [27] or rock-paperscissors-lizard-Spock (RPSLS) game [29,36] which includes five species along a cyclic hierarchy, also confirmed that a large number of species and high mobility can jeopardize biodiversity maintenance and potentially lead to diverging fluctuations under strong mixing [36] . In a six-species predator-prey cyclic system, an unexpected non-monotonous dependence of alliance survival on special heterogeneous invasion rates, even with the Gaussian noise, was revealed [33,34] .…”

Section: Introductionmentioning

confidence: 88%

Symmetry breaking in cyclic competition by niche construction

Han

Chen

Hui

2016

Applied Mathematics and Computation

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Niche construction theory, which portrays organisms as active agents that modify their environment rather than mere passive entities selected by their environment, has received increasing attention in ecology and evolutionary biology. Here, we investigate the ecological consequences of niche construction in the system of three cyclically competing metapopulations, engaging a rock-scissors-paper game. Using cellular automata, we detected a variety of dynamic behaviors, including damped oscillation, periodical fluctuation and stage equilibrium, and the system transformed from disorder to order with gradually increasing niche-constructing intensity. Increasing niche-constructing intensity of a species, counterintuitively, reduced its own occupancy, but increased that of its inferior competitor. These species displayed interesting ripples in the two-dimension lattice space, with the pattern sensitive to the symmetry of competition intensity and other vital rates. Spatial heterogeneity induced by niche construction, together with the competition hierarchy, formed a stable and fixed range for each species with clear boundaries. Our results highlighted the necessity of investigating the adaptive dynamics of niche constructing traits to better understand the eco-evolutionary consequence of niche construction.

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“…Durney et al discussed the evolution of characters of a cyclically competing predator-prey system with four or more species [25]. Feng et al observed self-organization spiral waves of a cyclic five-species system using direct simulations and nonlinear partial differential equations [26]. Intoy et al focused on the extinction processes in a cyclic four-species system [27].…”

Section: Introductionmentioning

confidence: 99%

A Five Species Cyclically Dominant Evolutionary Game with Fixed Direction: A New Way to Produce Self-Organized Spatial Patterns

Kang

Pan

Wang

et al. 2016

Entropy

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Abstract:Cyclically dominant systems are hot issues in academia, and they play an important role in explaining biodiversity in Nature. In this paper, we construct a five-strategy cyclically dominant system. Each individual in our system changes its strategy along a fixed direction. The dominant strategy can promote a change in the dominated strategy, and the dominated strategy can block a change in the dominant strategy. We use mean-field theory and cellular automaton simulation to discuss the evolving characters of the system. In the cellular automaton simulation, we find the emergence of spiral waves on spatial patterns without a migration rate, which suggests a new way to produce self-organized spatial patterns.

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Self-organization of five species in a cyclic competition game

Cited by 16 publications

References 26 publications

Structured environments foster competitor coexistence by manipulating interspecies interfaces

Structured environments foster competitor coexistence by manipulating interspecies interfaces

Symmetry breaking in cyclic competition by niche construction

A Five Species Cyclically Dominant Evolutionary Game with Fixed Direction: A New Way to Produce Self-Organized Spatial Patterns

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