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# Table 1 Parameter values used in numerical simulations

From: A note on the impact of late diagnosis on HIV/AIDS dynamics: a mathematical modelling approach

Parameter | Definition | Range | Value | Source |
---|---|---|---|---|

\(\beta _1\) |
Contact for individuals in S with those in \(I_1\)
| 0-1 | 0.912 | [8] |

\(\beta _2\) |
Contact for individuals in S with those in \(I_2\)
| 0-1 | 0.894 | [8] |

\(\beta _3\) |
Contact for individuals in S with those in \(I_{A1}\)
| \(0{-}1\) | 0.095 | [8] |

\(\beta _4\) |
Contact for individuals in S with those in \(I_{A2}\)
| \(0{-}1\) | 0.091 | [8] |

\(\sigma _1\) | Progression from \(I_1\) to \(I_{A1}\) | \(0.01{-}1\) | 0.084 | [8] |

\(\sigma _2\) | Progression from \(I_2\) to \(I_{A2}\) | \(0{-}1\) | 0.1 | Assumed |

\(\delta\) | Progression from \(I_1\) to \(I_{2}\) | \(0.01{-}1\) | 1.0 | [8] |

\(\gamma _1\) | Progression from \(I_{A1}\) to \(I_{A2}\) | \(0.01{-}1\) | 0.096 | [8] |

\(\gamma _2\) | Progression from \(I_{A2}\) to \(I_{A1}\) | \(0.1{-}1\) | 0.112 | [8] |

r
| Effect of late initiation into ART | \(0{-}1\) | 0.45 | Assumed |

\(\omega _1\) | Disease related death of individuals in \(I_2\) | \(0{-}1\) | 0.089 | [7] |

\(\omega _2\) | Disease related death of individuals in \(I_{A2}\) | \(0{-}1\) | 0.095 | [7] |

\(\Lambda\) |
Recruitment rate into S
| \(0{-}1\) | 0.0239 | [12,13,14] |

\(\mu\) | Natural death rate | \(0{-}1\) | 0.0172 | [14] |