We're sorry but this page doesn't work properly without JavaScript enabled. Please enable it to continue.
Feedback

Survival Dynamical Systems on Random Graphs

Formal Metadata

Title
Survival Dynamical Systems on Random Graphs
Title of Series
Number of Parts
19
Author
License
CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
Identifiers
Publisher
Release Date
Language

Content Metadata

Subject Area
Genre
Abstract
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 agents’ dynamics obtained when replacing individual’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.