Species competition: coexistence, exclusion and clustering
arXiv:0812.1279 · doi:10.1098/rsta.2009.0086
Abstract
We present properties of Lotka-Volterra equations describing ecological competition among a large number of competing species. First we extend to the case of a non-homogeneous niche space stability conditions for solutions representing species coexistence. Second, we discuss mechanisms leading to species clustering and obtain an analytical solution for a lumped state in a specific instance of the system. We also discuss how realistic ecological interactions may result in different types of competition coefficients.
9 pages, 4 figures. Replaced with published version. Freely available from the publisher site under the Creative Commons Attribution license
References in corpus (6)
- Non-local Interaction Effects on Pattern Formation in Population Dynamics
- Clustering, advection and patterns in a model of population dynamics with neighborhood-dependent rates
- Species clustering in competitive Lotka-Volterra models
- Fluctuations impact on a pattern-forming model of population dynamics with non-local interactions
- How Gaussian competition leads to lumpy or uniform species distributions
- Crystallization and melting of bacteria colonies and Brownian Bugs
Cited by in corpus (12)
- How Gaussian competition leads to lumpy or uniform species distributions
- Minimal mechanisms for vegetation patterns in semiarid regions
- Integrating theory and experiments to link local mechanisms and ecosystem-level consequences of vegetation patterns in drylands
- Formation of localized structures in bistable systems through nonlocal spatial coupling II: The nonlocal Ginzburg Landau Equation
- Nonlinear diffusion effects on biological population spatial patterns
- Eco-evolutionary Model of Rapid Phenotypic Diversification in Species-Rich Communities
- Translucent windows: How uncertainty in competitive interactions impacts detection of community pattern
- Spatial patterns of competing random walkers
- Single-species fragmentation: the role of density-dependent feedbacks
- A framework for analyzing ecological trait-based models in multi-dimensional niche spaces
- Self-localized states in species competition
- Minimal model of self-organized clusters with phase transitions in ecological communities