*N* | total population size | 1000 |

*γ* | mean recovery rate from symptomatic infection | 2 |

*ϕ* | degree of intervention to current incidence | 0.054 |

*β*_{C} | transmission rate through direct-contact | 0.01334 |

*α* | scaling parameter of gamma distribution/number of sexually infectious pseudo-stages | 5 |

*η* | rate parameter of gamma distribution/pseudo-stage transition rate | 0.722 |

*ω* | mean recovery rate from sexually infectious phase (*η*/*α*) | 0.144 |

*p* | proportion of directly infectious individuals who become sexually infectious | 0.0–0.5 |

*β*_{S} | transmission rate through sexual contact | 0.0–0.5 |

*ψ* | probability of disease-induced mortality | 0.7 |