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 |

k_{i} | degree of the node i of the network |

k | the degree distribution of the network |

<k>,<k^{2}> | 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 |

λ_{c},β_{c}, 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 |