Probabilistic Foundations of Spatial Mean-Field Models in Ecology and Applications
From MaRDI portal
Publication:5859782
DOI10.1137/19M1298329zbMath1466.60050arXiv1911.06770MaRDI QIDQ5859782
Carla Staver, Jonathan D. Touboul, Denis D. Patterson, Simon A. Levin
Publication date: 20 April 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06770
integro-differential equationsMarkov jump processesspatial dynamicsinteracting particle systemmean-field limitecological modeling
Central limit and other weak theorems (60F05) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)
Related Items
Finding analytical approximations for discrete, stochastic, individual-based models of ecology ⋮ Pattern formation in mesic savannas ⋮ Impulsive fire disturbance in a savanna model: tree-grass coexistence states, multiple stable system states, and resilience ⋮ Spatio-temporal modelling of tree-grass dynamics in humid savannas: interplay between nonlocal competition and nonlocal facilitation ⋮ Bistability, wave pinning and localisation in natural reaction-diffusion systems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the dynamics of random neuronal networks
- Spatially extended networks with singular multi-scale connectivity patterns
- Mean field limit for disordered diffusions with singular interactions
- Coexistence of grass, saplings and trees in the Staver-Levin forest model
- Coexistence in stochastic spatial models
- Interacting multi-class transmissions in large stochastic networks
- Periodic behavior of the stochastic Brusselator in the mean-field limit
- Law of large numbers and central limit theorem for unbounded jump mean- field models
- Solutions of a class of nonlinear master equations
- Particle systems and reaction-diffusion equations
- A long range sexual reproduction process
- On the origin of tiger bush
- Spatial aspects of interspecific competition
- McKean-Vlasov limit for interacting random processes in random media.
- A large scale analysis of unreliable stochastic networks
- A mathematical model of plants as ecosystem engineers
- Propagation of chaos in neural fields
- Implications of the spatial dynamics of fire spread for the bistability of savanna and forest
- Balancing queues by mean field interaction
- Mathematical Structures of Epidemic Systems
- Simulating, Analyzing, and Animating Dynamical Systems
- Markov Chains
- Voter Model Perturbations and Reaction Diffusion Equations
- On the complex dynamics of savanna landscapes
- Large deviations for randomly connected neural networks: I. Spatially extended systems
- Noise-Induced Behaviors in Neural Mean Field Dynamics
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
- On quasi-stationary distributions in absorbing continuous-time finite Markov chains
- Prescribing a System of Random Variables by Conditional Distributions
