Abstract
We propose two SIR models which incorporate sociological behavior of groups of individuals. It is these differences in behaviors which impose different infection rates on the individual susceptible populations, rather than biological differences. We compute the basic reproduction number for each model, as well as analyze the sensitivity of R0 to changes in sociological parameter values.
Recommended Citation
Allen, Robert F.; Heller, Katherine C.; and Pons, Matthew A.
(2022)
"Analysis of SIR Epidemic Models with Sociological Phenomenon,"
Spora: A Journal of Biomathematics: Vol. 8, 38–55.
DOI: https://doi.org/10.30707/SPORA8.1.1647886301.837479
Available at:
https://ir.library.illinoisstate.edu/spora/vol8/iss1/6
Included in
Dynamic Systems Commons, Ordinary Differential Equations and Applied Dynamics Commons, Population Biology Commons