Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2007-08-30
International Journal of Modern Physics C, vol. 18, no. 10 (2007), pp. 1659-1674
Biology
Quantitative Biology
Populations and Evolution
Scientific paper
10.1142/S0129183107011649
We analyze a model of interacting agents (e.g. prebiotic chemical species) which are represended by nodes of a network, whereas their interactions are mapped onto directed links between these nodes. On a fast time scale, each agent follows an eigendynamics based on catalytic support from other nodes, whereas on a much slower time scale the network evolves through selection and mutation of its nodes-agent. In the first part of the paper, we explain the dynamics of the model by means of characteristic snapshots of the network evolution and confirm earlier findings on crashes an recoveries in the network structure. In the second part, we focus on the aggregate behavior of the network dynamics. We show that the disruptions in the network structure are smoothed out, so that the average evolution can be described by a growth regime followed by a saturation regime, without an initial random regime. For the saturation regime, we obtain a logarithmic scaling between the average connectivity per node $\mean{l}_{s}$ and a parameter $m$, describing the average incoming connectivity, which is independent of the system size $N$.
Schweitzer Frank
Seufert Adrian M.
No associations
LandOfFree
Aggregate Dynamics in an Evolutionary Network Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Aggregate Dynamics in an Evolutionary Network Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aggregate Dynamics in an Evolutionary Network Model will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-206264