Abstract
We study the spread of information on multi-type directed random graphs. In such graphs the vertices are partitioned into distinct types (communities) that have different transmission rates between themselves and with other types. We construct multivariate generating functions and use multi-type branching processes to derive an equation for the size of the large out-components in multi-type random graphs with a general class of degree distributions. We use our methods to analyse the spread of epidemics and verify the results with population based simulations.
| Original language | English |
|---|---|
| Article number | 033501 |
| Journal | Journal of Statistical Mechanics: Theory and Experiment |
| Volume | 2022 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Mar 2022 |
Keywords
- epidemic modeling
- network dynamics
- random graphs, networks
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty
