Advanced Search
Article Contents
Article Contents

Rational exemption to vaccination for non-fatal SIS diseases: Globally stable and oscillatory endemicity

Abstract Related Papers Cited by
  • 'Rational' exemption to vaccination is due to a pseudo-rational comparison between the low risk of infection, and the perceived risk of side effects from the vaccine. Here we consider rational exemption in an SI model with information dependent vaccination where individuals use information on the disease's spread as their information set. Using suitable assumptions, we show the dynamic implications of the interaction between rational exemption, current and delayed information. In particular, if vaccination decisions are based on delayed informations, we illustrate both global attractivity to an endemic state, and the onset, through Hopf bifurcations, of general Yakubovich oscillations. Moreover, in some relevant cases, we plot the Hopf bifurcation curves and we give a behavioural interpretation of their meaning.
    Mathematics Subject Classification: Primary: 92D30; Secondary: 34D23, 34C15.


    \begin{equation} \\ \end{equation}
  • 加载中

Article Metrics

HTML views() PDF downloads(38) Cited by(0)

Access History



    DownLoad:  Full-Size Img  PowerPoint