Incorporating changeable attitudes toward vaccination into an SIR infectious disease model
Dynamical Systems
2024-08-16 v2 Populations and Evolution
Abstract
We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (willing or unwilling), with the goal of discovering how disease spread is influenced by changing opinions about vaccination. Analysis of the model identifies existence and stability criteria for both disease-free and endemic disease equilibria. The analytical results, supported by numerical simulations, show that attitude changes induced by disease prevalence can destabilize endemic disease equilibria, resulting in limit cycles.
Cite
@article{arxiv.2405.03931,
title = {Incorporating changeable attitudes toward vaccination into an SIR infectious disease model},
author = {Yi Jiang and Kristin M. Kurianski and Jane HyoJin Lee and Yanping Ma and Daniel Cicala and Glenn Ledder},
journal= {arXiv preprint arXiv:2405.03931},
year = {2024}
}
Comments
30 pages, 3 tables, 10 figures