Effects of intraspecific cooperative interactions in large ecosystems

Abstract

We analyze the role of the Allee effect, a positive correlation between population density and mean individual fitness, for ecological communities formed by a large number of species. Our study is performed using the generalized Lotka-Volterra model with random interactions between species. We obtain the phase diagram and analyze the nature of the multiple equilibria phase. Remarkable differences emerge with respect to the case of the logistic growth case, thus revealing the major role played by the functional response in determining aggregate behaviours of ecosystems.

40 pages, 7 figures. v2 with minor revisions

References in corpus (7)

• Marginal Stability in Structural, Spin and Electron Glasses
• Properties of equilibria and glassy phases of the random Lotka-Volterra model with demographic noise
• A generalized model of island biodiversity
• Low-frequency vibrational spectrum of mean-field disordered systems
• Mean-field model of interacting quasilocalized excitations in glasses
• Dynamical Mean-Field Theory and Aging Dynamics
• Understanding Species Abundance Distributions in Complex Ecosystems of Interacting Species

Cited by in corpus (9)

• Well-mixed Lotka-Volterra model with random strongly competitive interactions
• Interactions and migration rescuing ecological diversity
• Spatially disordered environments stabilize competitive metacommunities
• Nonreciprocal Spin-Glass Transition and Aging
• Jamming, relaxation, and memory in a structureless glass former
• Competitive exclusion and Hebbian couplings in random generalised Lotka-Volterra systems
• Antagonistic interactions can stabilise fixed points in heterogeneous linear dynamical systems
• Microbiomes Through The Looking Glass: Linking species interactions to dysbiosis through a disordered Lotka-Volterra framework
• Random motility regulation as a generic mechanism of community formation