Random Generalized Lotka–Volterra Model
The random generalized Lotka–Volterra model (rGLV) is an ecological model and Random dynamical system, random set of coupled ordinary differential equations where the parameters of the generalized Lotka–Volterra equation are sampled from a probability distribution, analogously to quenched disorder. The rGLV models dynamics of a community of species in which each species' abundance grows towards a carrying capacity but is depleted due to Competition (biology), competition from the presence of other species. It is often analyzed in the Thermodynamic limit, many-species limit using tools from statistical physics, in particular from spin glass theory. The rGLV has been used as a tool to analyze Emergence, emergent macroscopic behavior in microbial communities with dense, strong interspecies interactions. The model has served as a context for theoretical investigations studying Diversity (ecology), diversity-Stability (ecology), stability relations in community ecology and proper ...
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