Mathematical and Minischeme Appendix

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**Constant Definitions**

In addition to the helper functions, "Smallpox Attack" identifies a set of constants, parameters of the model. In our simulator, we define them as global minischeme variables. Please refer to the article for a detailed explanation of the meaning of each of these constants.

Description of Variable | Minischeme Variable Definition |

Infection rate | (val beta 0.0000001) |

Names generated by index | (val c 50) |

Fraction of infectees named by index | (val p 0.5) |

Population size | (val N 10000000) |

Disease stage 1 rate | (val r1 (/ 1 3)) |

Disease stage 2 rate | (val r2 (/ 1 8)) |

Disease stage 3 rate | (val r3 (/ 1 3)) |

Disease stage 4 rate | (val r4 (/ 1 12)) |

Number of vaccinators | (val nv 5000) |

Fraction febrile in stage 3 | (val h 0.9) |

Quarantine rate | (val alpha (/ 1 5)) |

Vaccine efficacy, stage 0 | (val nu0 0.975) |

Vaccine efficacy, stage 1 | (val nu1 0.975) |

Smallpox death rate | (val delta 0.3) |

Vaccination fatality rate | (val f 0.000001) |

Response time | (val tau 5) |

Service rate | (val mu 0)
(if mass-vaccination (set mu 200) (set mu 50)) |

Size of time-unit in days | (val time-step [your value here]) |

Variable `mass-vaccination`

is set to 1 (meaning true)
if we want to model a mass vaccination scenario, and to 0 (false) if we want
to model a trace vaccination scenario. Variable `time-step`

is
measured in days per time-unit, and equals the fraction of a day over which
the time model will linearize the functions. A discussion of what this means follows.