Coupling opinion dynamics and epidemiology

Fuente: arXiv
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Autores principales: Goetz, Thomas, Krueger, Tyll, Niedzielewski, Karol, Schneider, Jan, Pabjan, Barbara
Formato: Preprint
Publicado: 2025
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author Goetz, Thomas
Krueger, Tyll
Niedzielewski, Karol
Schneider, Jan
Pabjan, Barbara
author_facet Goetz, Thomas
Krueger, Tyll
Niedzielewski, Karol
Schneider, Jan
Pabjan, Barbara
contents This research investigates the coupled dynamics of behavior and infectious disease using a mathematical model. We integrate a two-state q-voter opinion process with SIS-type infection dynamics, where transmission rates are influenced by the opinion and an infection-induced switching mechanism represents individuals reassessing their behavior upon infection. Analytically, we derive conditions for the stability of endemic and disease-free equilibria. Numerical simulations reveal complex dynamics: above a certain infectivity threshold, the system can exhibit alternative basins of attraction leading to a balanced endemic fixed point or stable limit cycles. Notably, the dominant asymptotic opinion and resulting epidemiological outcomes show non-monotonic relationships with infectivity, highlighting the potential for adaptive behavior to induce complex system dynamics. These findings underscore the critical role of social interventions; shifts in behavioral norms and trust can permanently alter epidemic outcomes, suggesting that such interventions are as crucial as biomedical controls
format Preprint
id arxiv_https___arxiv_org_abs_2512_10612
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Coupling opinion dynamics and epidemiology
Goetz, Thomas
Krueger, Tyll
Niedzielewski, Karol
Schneider, Jan
Pabjan, Barbara
Physics and Society
Dynamical Systems
Populations and Evolution
This research investigates the coupled dynamics of behavior and infectious disease using a mathematical model. We integrate a two-state q-voter opinion process with SIS-type infection dynamics, where transmission rates are influenced by the opinion and an infection-induced switching mechanism represents individuals reassessing their behavior upon infection. Analytically, we derive conditions for the stability of endemic and disease-free equilibria. Numerical simulations reveal complex dynamics: above a certain infectivity threshold, the system can exhibit alternative basins of attraction leading to a balanced endemic fixed point or stable limit cycles. Notably, the dominant asymptotic opinion and resulting epidemiological outcomes show non-monotonic relationships with infectivity, highlighting the potential for adaptive behavior to induce complex system dynamics. These findings underscore the critical role of social interventions; shifts in behavioral norms and trust can permanently alter epidemic outcomes, suggesting that such interventions are as crucial as biomedical controls
title Coupling opinion dynamics and epidemiology
topic Physics and Society
Dynamical Systems
Populations and Evolution
url https://arxiv.org/abs/2512.10612