Exact Solutions for Social and Biological Contagion Models on Mixed Directed and Undirected, Degree-Correlated Random Networks

Authors

Joshua L. Payne, Dartmouth College
Kameron Decker Harris, University of Vermont
Peter Sheridan Dodds, University of Vermont

Document Type

Article

Publication Date

6-14-2011

Publication Title

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Abstract

We derive analytic expressions for the possibility, probability, and expected size of global spread- ing events starting from a single infected seed for a broad collection of contagion processes acting on random networks with both directed and undirected edges and arbitrary degree-degree correla- tions. Our work extends previous theoretical developments for the undirected case, and we provide numerical support for our findings by investigating an example class of networks for which we are able to obtain closed-form expressions.

DOI

10.1103/PhysRevE.84.016110

Dartmouth Digital Commons Citation

Payne, Joshua L.; Harris, Kameron Decker; and Dodds, Peter Sheridan, "Exact Solutions for Social and Biological Contagion Models on Mixed Directed and Undirected, Degree-Correlated Random Networks" (2011). Dartmouth Scholarship. 1989.
https://digitalcommons.dartmouth.edu/facoa/1989