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Award ID contains: 2015462

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  1. ; ; ; ; (, Linear Algebra and its Applications)
    Free, publicly-accessible full text available February 1, 2026
  2. ; ; ; ; ; (, Algebraic Statistics)
    Full Text Available 
  3. ; ; ; ; ; (, Mathematical Biosciences and Engineering)
    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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