Vaccine demand driven by vaccine side effects: Dynamic implications for SIR diseases |
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Authors: | Alberto d’Onofrio Piero Manfredi |
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Institution: | a Department of Experimental Oncology, European Institute of Oncology, Via Ripamonti 435, 20141 Milano, Italy b Dipartimento di Statistica e Matematica Applicata all’Economia, Via Ridolfi 4, Pisa, Italy |
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Abstract: | For infections for which the perceived risk of serious disease is steadily low, the perceived risk of suffering some vaccine side effects 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. |
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Keywords: | Vaccine Side effects Rational exemption to vaccination Information Delay Stability Oscillations |
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