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Survival Dynamical Systems on Random Graphs

Banff International Research Station for Mathematical Innovation and Discovery

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 agentsâ dynamics obtained when replacing individualâs 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.

Mathematics; Probability theory and stochastic processes; Statistics

video/mp4

Author affiliation: The Ohio State University

2019-11-20

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/72333

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/