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. 2011 Feb 10;240(11):943–948. doi: 10.1016/j.physd.2011.02.001

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Copyright © 2011 Elsevier B.V. All rights reserved.

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Fig. 7 — (Color online) The effects of the period of a vaccine’s validity on the spread of epidemic for the uniform case (a) and the preferential case (b), respectively. Here $f_{v}^{U} = 0.05$ for the uniform case and $f_{v}^{P} = 0.15$ for the preferential case respectively, other parameters are set as $β = 0.04, μ = 0.1, c = 1.0$ and $δ = 0.9$ .