Pandemic waves as the outcome of coupled behaviour and disease dynamics: a mathematical modelling study

Publication date: Feb 06, 2026

Background: The COVID-19 pandemic was strongly shaped by the interaction between population behaviour and transmission dynamics. Standard mathematical models do not account for this interaction, however. Objective: we tested whether adding a mechanistic representation of population behavioural dynamics improves the ability of a mathematical model to explain and predict COVID-19 pandemic waves. Methods: We compared a standard Susceptible-Infected-Recovered (SIR) model to a variant (SIRx) with a mechanistic representation of behavioural processes, including two-way coupling between behaviour and transmission dynamics. We used approximate Bayesian computation to parameterise the models with SARS-CoV-2 case incidence and the Oxford stringency index from 13 European countries. Models were fitted to the Spring 2020 wave, and their out-of-sample prediction for the Summer/Fall 2020 wave was tested. Outcome measures included the Akaike Information Criterion (AICc), the area between empirical and model epidemic curves, and predicted timing/magnitude of the second wave. Results: The average AICc for the SIRx model across all 13 countries was lower (-2638 {+/-} 345 versus -2295 {+/-} 212 for SIR), meaning that the SIRx model explains the data more parsimoniously. The average area-between-curves was also lower (0.072 {+/-} 0.071 versus 0.16 {+/-} 0.11). The predicted peak magnitude for the SIRx model (0.0015 {+/-} 0.0014) was closer to the data (0.0006 {+/-} 0.0005) than the SIR prediction (0.0083 {+/-} 0.0090). The average day-of-peak for the SIRx model (283 {+/-} 19 days from first data point) was also closer to the data (278 {+/-} 25), than the SIR prediction (253 {+/-} 31), although the 95% credible intervals for individual countries were very large. Conclusion: Coupling behavioural and disease dynamics improves the ability of mathematical models to explain and predict crucial features of pandemic waves.

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Concepts Keywords
Canada Behaviour
Coronavirus19 Behavioural
Interventionsespecially Countries
Mathematics Coupled
Summer Covid
Dynamics
Medrxiv
Models
Pandemic
Peak
Population
Preprint
Stringency
Transmission
Wave

Semantics

Type Source Name
disease MESH COVID-19 pandemic
disease MESH included
disease MESH infectious diseases
disease MESH face
disease MESH severe acute respiratory syndrome
disease MESH influenza
disease MESH infection
disease MESH AIC
pathway REACTOME Reproduction
disease MESH GPS
drug DRUGBANK Tropicamide
disease MESH Dis

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