Table 1 Common Symbols
From: Toward epidemic thresholds on temporal networks: a review and open questions
Symbol | Definition and Description |
|---|---|
A,B,… | matrices (bold upper case) |
I | the n×n identity matrix |
ρ[ A] | spectral radius (largest eigenvalue) of the matrix A |
<·> | statistical expectation |
ki | degree of the node i of the network |
k | the degree distribution of the network |
<k>,<k2> | first and second moments of the degree distribution of the network |
S(t),I(t),R(t) | number of susceptible (S), infected (I), and recovered/removed (R) individuals in the population at time t |
β | infection rate: probability of transmission of a pathogen from an infected individual to a susceptible individual per effective contact (e.g. contact per unit time in continuous-time models, or per time step in discrete-time models) |
μ | recovery rate: probability that an infected individual will recover per unit time (in continuous-time models) or per time step (in discrete-time models) |
λ | transmissibility: the infection rate rescaled by μ−1 so that λ=β/μ |
λc,βc, etc. | critical transmissibility, critical infection rate, etc., that define the epidemic threshold |
ω | rewiring rate or mixing rate |
a | activity rate distribution for activity-driven networks |
m | number of connections to other nodes formed by an active node at each time step, for activity-driven networks |