Work

Stochastic epidemic models and their link with methods from survival analysis

Year: 2024

Type: preprint

Abstract: Compartmental models based on ordinary differential equations (ODE’s) quantifying the interactions between susceptible, infectious, and recovered individuals within a population have played an important role in infectious disease modeling. The aim of the present paper is to explain the link between stochastic epidemic models based on the susceptible-infectious-recovered (SIR) model, and methods from survival analysis. We illustrate how standard software for survival analysis in the statistical language R can be used to estimate pivotal parameters in the stochastic SIR model in the very much idealized situation where the epidemic is completely observed. Extensions incorporating interventions, age structure and heterogeneity are explored and illustrated.

Source: medRxiv

DOI: 10.1101/2024.02.18.24302991

Authors: Hein Putter, Jelle Goeman, Jacco Wallinga

Institutions: Leiden University, Leiden University Medical Center, National Institute for Public Health and the Environment

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: green

OpenAlex ID: W4396522313

Cites: 25

Cited by: 1

Related to: 10