Analysis of SIR epidemic models with sociological phenomenon

TL;DR

This paper introduces two SIR epidemic models that integrate sociological behaviors affecting infection rates, analyzing how social factors influence disease spread and the basic reproduction number.

Contribution

The paper presents novel SIR models incorporating sociological behaviors, providing new insights into how social dynamics impact epidemic modeling.

Findings

Computed basic reproduction numbers for both models

Analyzed sensitivity of R0 to sociological parameters

Demonstrated social behavior's influence on epidemic spread

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 $R_0$ to changes in sociological parameter values.