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. 2011 Dec 1;7(12):e1002289. doi: 10.1371/journal.pcbi.1002289

Table 3. Additional terms referred to in the text.

Symbol Description
F The set of pairs Inline graphic which have Inline graphic for at least one epitope i, then a vaccinated host of type h who has virus type v, such that Inline graphic, is successfully vaccinated, i.e. they restrict at least one epitope they are vaccinated against and that epitope has no escape mutations. By contrast, a vaccinated host with Inline graphic is unsuccessfully vaccinated and has the same properties as an unvaccinated infected host.
Inline graphic The unit vector of length n that has ith coordinate equal to 1, e.g. Inline graphic
Inline graphic Inline graphic
Inline graphic The Kronecker delta: Inline graphic
Inline graphic The basic reproductive number. The expected number of secondary cases caused by one primary case in a wholly susceptible population. In this model framework Inline graphic.
Inline graphic The control reproductive number. The expected number of secondary cases caused by one primary case in a wholly uninfected population under a control strategy.
Inline graphic Lifetime transmission potential of a successfully vaccinated host. In this model framework Inline graphic.
Inline graphic Lifetime transmission potential of an unvaccinated or unsuccessfully vaccinated host. Inline graphic.
K The next generation matrix