Journal
THEORETICAL POPULATION BIOLOGY
Volume 71, Issue 3, Pages 301-317Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.tpb.2007.01.001
Keywords
SIR models with vaccination; rational exemption; social alarm; global stability; oscillations
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The increasing level of disease control by vaccination jointly with the growing standard of living and health of modern societies could favour the spread of exemption as a rational behaviour towards vaccination. Rational exemption implies that families will tend to relate the decision to vaccinate their children to the available information on the state of the disease. Using an SIR model with information dependent vaccination we show that rational exemption might make elimination of the disease an unfeasible task even if coverages as high as 100% are actually reached during epochs of high social alarm. Moreover, we show that rational exemption may also become responsible for the onset of sustained oscillations when the decision to vaccinate also depends on the past history of the disease. (C) 2007 Elsevier Inc. All rights reserved.
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