BIRS Workshop Lecture Videos
Survival Dynamical Systems on Random Graphs Rempala, Grzegorz
The idea of a survival dynamical system (SDS) is to apply aggregated dynamics of a macro model at the level of an individual agent. SDS may be also viewed a limit of agentsÃ¢ dynamics obtained when replacing individualÃ¢s random hazard function with its large volume limit. Under this second interpretation it is relatively simple to obtain an extension of the classical mass-action SDS to a configuration model random graph and to provide some basic results allowing for estimating the underlying epidemic parameters from micro-level data. As it turns out, in a certain class of degree distributions the SDS model takes a particularly simple from and its statistical analysis is only moderately more complicated than the classical mass-action SDS as given by the standard SIR equations.
Item Citations and Data
Attribution-NonCommercial-NoDerivatives 4.0 International