Vaccine demand driven by vaccine side effects: Dynamic implications for SIR diseases

Alberto d'Onofrio (1) , Piero Manfredi (2)

1 Department of Experimental Oncology
2 Dipartimento di Statistica e Matematica Applicata all'Economia

For infections for which the perceived risk of serious disease is steadily low, the might become the driving force of the vaccine demand. We investigate the dynamics of SIR infections in homogeneously mixing populations where the vaccine uptake is a decreasing function of the current (or past) incidence, or prevalence, of vaccine side effects. We define an appropriate model where vaccine side-effects are modelled as functions of the age since vaccination. It happens that the vaccine uptake follows its own dynamics independent of epidemiological variables. We show the conditions under which the vaccine uptake lands on a globally stable equilibrium, or steadily oscillates, and the implications of such behaviour for the dynamics of epidemiological variables. We finally report some unexpected scenarios caused by trends in vaccine side effects.

Mots clés: Vaccine; Side effects; Rational exemption to vaccination; Information; Delay; Stability; Oscillations

Alberto d'Onofrio, Piero Manfredi. Vaccine demand driven by vaccine side effects: Dynamic implications for SIR diseases. Journal of Theoretical Biology, 2010, 264 (2), pp.237. ⟨10.1016/j.jtbi.2010.02.007⟩. ⟨hal-00585797⟩