A Metacommunity Model of Interacting Hosts with Microbe Exchange
summary
Proposes a metacommunity framework that replaces continuous dispersal with discrete exchange parameter gamma and Poisson-like interaction times (lambda_ij) on a host network, proving three regimes: low-frequency interactions let each host reach its local attractor before exchanges, a high-frequency/weak-exchange mass-effects limit recovers continuous-dispersal ODEs, and a high-frequency/constant-exchange regime yields mean-field synchronization. Uses generalized Lotka–Volterra ODEs, probabilistic timing, analytical approximations and numerical experiments; arXiv paper contains the three corresponding theorems and noted simplifying assumptions (uniform gamma, exponential timing).
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chapters (9)
- 0:00Microbiomes and metacommunity theory
- 1:29Defining microbiomes and dynamics
- 3:35Metacommunity theory and mass effects
- 5:01Modeling framework with network dynamics
- 8:59Interaction frequency and exchange strength
- 11:06High frequency approximations
- 12:53Synchronization in frequent interactions
- 13:58Conclusions and future directions
- 16:06Q&A on model applications
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