The SIDARTHE model is an eight-compartment epidemiological model developed to capture the spread of COVID-19 in Italy during early 2020. It extends the classic SIR approach by distinguishing detected vs. undetected infections and different severity levels. In SIDARTHE, individuals progress through stages from susceptible to various infected states (asymptomatic, symptomatic, severe) and eventually to outcomes … Read more
Extended compartmental models bridge clinical realitiesāhospitalization, severity progression, mortalityāwith population-level epidemic dynamics. Below are two frameworks widely used for high-resolution tracking of patient flow and disease severity: the SIHR model and the SIDARTHE model. š„ SusceptibleāInfectiousāHospitalizedāRecovered (SIHR) Model The SIHR model extends SIR by distinguishing infectious individuals in the community (I) from those hospitalized or … Read more
Standard epidemiological frameworks like SIR (SusceptibleāInfectiousāRemoved) provide the foundational mathematics of disease spread. However, to evaluate non-pharmaceutical interventions (NPIs)āsuch as contact tracing, quarantine, and isolationāwe must move beyond simple three-compartment structures. This post introduces two advanced frameworks essential for analyzing public health responses: These models provide a rigorous foundation for predicting outcomes when public health … Read more
In mathematical epidemiology, the simple SIR model is often insufficient for diseases with non-negligible incubation periods, hidden transmission, or complex clinical trajectories. SEIR-derived frameworks ā by explicitly modeling latency, asymptomatic infection, and healthcare dynamics ā provide the necessary resolution for rigorous outbreak analysis, intervention design, and policy forecasting. ā³ Core SEIR Structure: Accounting for Latency … Read more