Mathematical Medicine and Biology A Journal of the IMA · 1988 · 95 citations · 0 references
Veterinary MedicineInfectious Disease ControlInfectious DiseasesInfectious Disease EpidemiologyStochastic ModelingVirologyDisease SpreadEpidemic Curve AnalysisHiv EpidemiologyIncubation Period AnalysisInfectious Disease DynamicsTransmission DynamicsEpidemic ModelsHiv Infection ModelsHiv Transmission DynamicsHuman Immunodeficiency Virus TransmissionLocal StabilityMathematical Modeling Of EpidemicsMathematical Modeling Of Viral SpreadViral Transmission Dynamics
Distributions describing variation in the incubation and infectious periods of the human immunodeficiency virus (HIV) are derived from a series of risk or hazard functions. Four possible forms of the probability density function are considered, namely, exponential, Weibull, Erlang/gamma, and rectangular, and the properties and underlying risk functions are compared and contrasted. Models of the transmission dynamics of the virus, encapsulating different assumptions concerning the distributed incubation and infectious periods, are analysed, and their properties compared by steady-state and local-stability analyses and numerical methods.