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Failed Experiment ReportOpen accessAgricultural and Biological Sciences

Speeding up disease extinction with a limited amount of vaccine

M. Khasin, M. I. Dykman, B. Meerson · 2009 · arXiv

We consider optimal vaccination protocol where the vaccine is in short supply. In this case, disease extinction results from a large and rare fluctuation. We show that the probability of such fluctuation can be exponentially increased by vaccination. For periodic vaccination with fixed average rate, the optimal vaccination protocol is model independent and presents a sequence of short pulses. The effect of vaccination can be resonantly enhanced if the pulse period coincides with the characteristic period of the disease dynamics or its multiples. This resonant effect is illustrated using a simp

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