Competing populations in flows with chaotic mixing
Open accessAbstract
We investigate the effects of spatial heterogeneity on the coexistence of competing species in the case when the heterogeneity is dynamically generated by environmental flows with chaotic mixing properties. We show that one effect of chaotic advection on the passively advected species (such as phytoplankton, or self-replicating macro-molecules) is the possibility of coexistence of more species than that limited by the number of niches they occupy. We derive a novel set of dynamical equations for competing populations.
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The positive fixed point of the two-competitor system is stable if 0 < α < 1; for α = 1, ω = 1, which is the case if mixing is complete, there is no coexistence; for α > 1 the initially more abundant competitor wins.
“The positive fixed point of this system is stable if 0 < α < 1. For α = 1, ω = 1 which is the case if mixing is complete; then there is no coexistence. Similarly, for α > 1 the initially more abundant competitor wins (over dominance) [88].”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [88]
IB models reveal that without knowing the detailed mechanism of competition we cannot determine the dynamical behaviour of the replicators in open chaotic flows.
“Thus, IB models reveal that without knowing the detailed mechanism of competition we cannot determine the dynamical behaviour of the replicators in open chaotic flows [88].”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [88]
Analysis of the individual-based model pointed out that pi really follows Equation (15) and, whenever coexistence is observed, the inequalities 0 < α < 1 hold, just as the analysis forecasts.
“Analysis of the individual-based (IB) model of this system pointed out that pi really follows Equation (15) and, whenever coexistence is observed, the inequalities 0 < α < 1 hold, just as the analysis forecasts.”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [88]
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- Authors
- Scheuring, I., Károlyi, G., Toroczkai, Z., Tél, T., & Péntek, Á.
- Affiliations
- Eötvös Loránd University (HU)
- University of Arizona (US)
- Los Alamos National Laboratory (US)
- Scripps Institution of Oceanography (US)
- Corresponding author
- Scheuring, István
- Venue
- Theoretical Population Biology
- Publisher
- Elsevier BV
- Published
- 2003-03
- Volume
- 63
- Issue
- 2
- Pages
- 77-90
- ISSN
- 0040-5809 (ISSN-L)
- OpenAlex
- W2000307366
- Cited by
- 43
- References
- 45
- Citations by year
- 2025: 1 · 2024: 1 · 2018: 1 · 2017: 5 · 2016: 2 · 2015: 2 · 2014: 1 · 2013: 1 · 2012: 3
- FWCI
- 5.21
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Theoretical Population Biology (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation
- U.S. Department of Energy (W-7405, W-7405-ENG-36)
- Hungarian Scientific Research Fund
- Hungarian Science Foundation
- Topics
- Health Sciences › Medicine › Public Health, Environmental and Occupational Health › Mathematical and Theoretical Epidemiology and Ecology Models
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
- Keywords
- chaotic advection, chaotic mixing, competing populations, species coexistence, spatial heterogeneity, environmental flows, population dynamics, phytoplankton
- MeSH terms
- Competitive Behavior, Hungary, Phytoplankton, Population Dynamics, Species Specificity, Models, Statistical, Nonlinear Dynamics, Ecosystem
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