Title | Reply to "Comment on 'Linking population-level models with growing networks: a class of epidemic models'" |

Publication Type | Journal Article |

Year of Publication | 2006 |

Authors | Breban, R [1], Vardavas R [2], Blower S [3] |

Journal | Phys Rev E Stat Nonlin Soft Matter Phys |

Volume | 74 |

Pagination | 046110 |

Keywords | Fundamentals of Theoretical Epidemiology [4] |

Abstract | We introduce a class of growing network models that are directly applicable to epidemiology. We show how to construct a growing network model (individual-level model) that generates the same epidemic-level outcomes as a population-level ordinary differential equation (ODE) model. For concreteness, we analyze the susceptible-infected (SI) ODE model of disease invasion. First, we give an illustrative example of a growing network whose population-level variables are compatible with those of this ODE model. Second, we demonstrate that a growing network model can be found that is equivalent to the Crump-Mode-Jagers (CMJ) continuous-time branching process of the SI ODE model of disease invasion. We discuss the computational advantages that our growing network model has over the CMJ branching process. |

URL | http://www.semel.ucla.edu/sites/all/files/biomedicalmodeling/pdf/PhysRevE_74_018102.pdf [5] |