Table 1. A description of variables used to describe our model.

Symbol	Description
t	Time
i	Epitope number (from 1 to n)
	Host type, indicating which of the n epitopes the host restricts: if the host restricts epitope i and if it does not.
	Virus type, indicating the epitopes at which the virus carries escape mutants: if the virus is mutant at epitope i and if it is wildtype.
	The number of vaccinated resistant hosts of type h at time t
	The number of unvaccinated susceptible hosts of type h at time t
	The number of vaccinated susceptible hosts of type h at time t
	The number of unvaccinated type h hosts infected with virus type v at time t.
	The number of vaccinated type h hosts infected with virus type v at time t.
	The total number of hosts in the population at time t.
	Force of infection from infected hosts with virus type v at time t.