Numerical considerations about the SIR epidemic model with infection age

2020/06/26 by Brinks, Ralph, Hoyer, Annika
#FOS: Biological sciences #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.2006.14861

Abstract

We analyse the infection-age-dependent SIR model from a numerical point of view. First, we present an algorithm for calculating the solution the infection-age-structured SIR model without demography of the background host. Second, we examine how and under which conditions, the conventional SIR model (without infection-age) serves as a practical approximation to the infection-age SIR model. Special emphasis is given on the effective reproduction number.

Related

• The Mathematics of Infectious Diseases
• Extinction time of an epidemic with infection age dependent infectivity
• An age-of-infection model with both symptomatic and asymptomatic infections
• Exact and approximate analytic solutions in the SIR epidemic model
• Usefulness of the Age-Structured SIR Dynamics in Modelling COVID-19