Lotka-Volterra Model of Macro-Evolution on Dynamical Networks

We study a model of a multi-species ecosystem described by Lotka-Volterra-like equations. Interactions among species form a network whose evolution is determined by the dynamics of the model. Numerical simulations show power-law distribution of intervals between extinctions, but only for ecosystems with sufficient variability of species and with networks of connectivity above certain threshold that is very close to the percolation threshold of the network. Effects of slow environmental changes on extinction dynamics are also examined.

• Type: Conference
• Year: 2004
• Where: ICCS
• Authors: François Coppex, Michel Droz, Adam Lipowski
• Keywords: Certain Threshold, ICCS 2004, Multi-species Ecosystem, Slow Environmental Changes