Generalized lotka-volterra systems with time correlated stochastic interactions
In this Letter, we explore the dynamics of species abundances within ecological
communities using the generalized Lotka-Volterra (GLV) model. At variance with previous …
communities using the generalized Lotka-Volterra (GLV) model. At variance with previous …
Phase Transition to Chaos in Complex Ecosystems with Nonreciprocal Species-Resource Interactions
Nonreciprocal interactions between microscopic constituents can profoundly shape the
large-scale properties of complex systems. Here, we investigate the effects of nonreciprocity …
large-scale properties of complex systems. Here, we investigate the effects of nonreciprocity …
Heterogeneous mean-field analysis of the generalized Lotka-Volterra model on a network
F Aguirre-López - arxiv preprint arxiv:2404.11164, 2024 - arxiv.org
We study the dynamics of the generalized Lotka-Volterra model with a network structure.
Performing a high connectivity expansion for graphs, we write down a mean-field dynamical …
Performing a high connectivity expansion for graphs, we write down a mean-field dynamical …
Local and extensive fluctuations in sparsely interacting ecological communities
S Marcus, AM Turner, G Bunin - Physical Review E, 2024 - APS
Ecological communities with many species can be classified into dynamical phases. In
systems with all-to-all interactions, a phase where species abundances always reach a fixed …
systems with all-to-all interactions, a phase where species abundances always reach a fixed …
Non-reciprocal spin-glass transition and aging
Disordered systems generically exhibit aging and a glass transition. Previous studies have
long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is …
long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is …
Generating-functional analysis of random Lotka-Volterra systems: A step-by-step guide
T Galla - arxiv preprint arxiv:2405.14289, 2024 - arxiv.org
This paper provides what is hopefully a self-contained set of notes describing the detailed
steps of a generating-functional analysis of systems of generalised Lotka-Volterra equations …
steps of a generating-functional analysis of systems of generalised Lotka-Volterra equations …
Symmetry-based approach to species-rich ecological communities
J Giral Martínez - Physical Review E, 2025 - APS
Disordered systems theory provides powerful tools to analyze the generic behaviors of high-
dimensional systems, such as species-rich ecological communities or neural networks. By …
dimensional systems, such as species-rich ecological communities or neural networks. By …
From an exact solution of dynamics in the vicinity of hard walls to extreme-value statistics of non-Markovian processes
T Arnoulx de Pirey - Physical Review E, 2024 - APS
We present an exact solution for one-dimensional overdamped dynamics near a hard wall,
allowing us to connect steady-state distributions under confinement with the extreme-value …
allowing us to connect steady-state distributions under confinement with the extreme-value …
[PDF][PDF] Understanding chaos and diversity in complex ecosystems–insights from statistical physics
In the mid 1970s, theoretical physicist turned theoretical ecologist Robert May published an
extremely influential set of manuscripts on chaos, stability, and diversity in complex …
extremely influential set of manuscripts on chaos, stability, and diversity in complex …
Optimization hardness constrains ecological transients
W Gilpin - arxiv preprint arxiv:2403.19186, 2024 - arxiv.org
Living systems operate far from equilibrium, yet few general frameworks provide global
bounds on biological transients. Here, we frame equilibration in complex ecosystems as the …
bounds on biological transients. Here, we frame equilibration in complex ecosystems as the …