Incorporating changeable attitudes toward vaccination into compartment models for infectious diseases
Yi Jiang, Kristin M. Kurianski, Jane HyoJin Lee, Yanping Ma, Daniel Cicala, Glenn Ledder
Source abstract
<p>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.</p>
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