Simple estimates on size of epidemics in generalized SIR-model for inhomogeneous populations

2008/11/19 by E. Sh. Gutshabash, Gutshabash, E. Sh., M. M. Brook +1
Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #FOS: Physical sciences #nlin.AO

paper · pdf · doi:10.48550/arxiv.0811.3202

5 pages

arxiv created 2008/11/19 · arxiv updated 2009/12/01

Abstract

A generalization of Kermack-McKendick model of epidemics to the case of inhomogeneous susceptibility of population is proposed. Some quantitative and qualitative features of epidemic process development in this situation are established.

Related

• The SIR model of an epidemic
• SIR epidemics in populations with large sub-communities
• Epidemiological models with parametric heterogeneity: Deterministic theory for closed populations
• Epidemic Models as Scaling Limits of Individual Dynamics
• A Kermack--McKendrick type epidemic model with double threshold phenomenon (and a possible application to Covid-19)