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Updated: May 22, 2025

Evaluation of Host-Pathogen Responses and Vaccine Efficacy in Mice
Published on: February 22, 2019
Incorporating changeable attitudes toward vaccination into compartment models for infectious diseases
Yi Jiang1, Kristin M Kurianski2, Jane HyoJin Lee3
1Department of Mathematics and Statistics, Southern Illinois University Edwardsville, 6 Hairpin Drive, Edwardsville, IL 62026, USA.
Abstract:
We develop a mechanistic model that classifies individuals both in terms of epidemiological status (SIR) and vaccination attitude (Willing or Unwilling/Unable), with the goal of discovering how disease spread is influenced by changing opinions about vaccination. Analysis of the model identifies the 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.
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