Dynamic transmission model.

<p>Flowchart representing the dynamic mathematical model used for the transmission. Abbreviations:γ_i, degree of protection; λ_N, age-dependent forces of infection for non-vaccine types; λ_V, age-dependent forces of infection for vaccine types; ωi, the waning rate; B, both vaccine types and non-vaccine types co-colonised; Bv, both vaccine types and non-vaccine types co-colonised with vaccination; c_N, competition parameters that determined the relative risk of acquiring non-vaccine types if already colonised by vaccine types; c_V, competition parameters that determined the relative risk of acquiring vaccine types if already colonised by non-vaccine types; i, age group; N, non-vaccine types carriers; Nv, non-vaccine types carriers with vaccination; r_N, recovery rate for non-vaccine types; r_V, recovery rate for vaccine types; S, susceptible; Sv, susceptible with vaccination; v, vaccination coverage; V, vaccine type carriers; Vv, vaccine types carriers with vaccination.