TY - ELEC
AU - Grzegorz Rempala
PY - 2019
TI - Survival Dynamical Systems on Random Graphs
LA - eng
M3 - Moving Image
AB - 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.
N2 - 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.
UR - https://open.library.ubc.ca/collections/48630/items/1.0385560
ER - End of Reference