Table 2 Mathematical representation of different control strategies and related parameters in the current modelling framework

Colonization rate CA-MRSA

(1 - η)F _C , 0 ≤ η ≤ 1

(1 - ν _CC )(1 - η)F _C , 0 ≤ ν _CC ≤ 1

ν _CC : Vaccine efficacy against CA-MRSA colonization

η: Hygiene compliance parameter

F _C = β _CC (CC + CCV)/N + β _IC (IC + ICV)/N

${\mathit{\beta }}_{\mathit{CC}}\mathit{=}{\mathit{\beta }}_{\mathit{CC}}^{\mathit{baseline}}-\mathit{s}\left({\mathit{\beta }}_{\mathit{CC}}^{\mathit{baseline}}-{\mathit{\beta }}_{\mathit{IC}}^{\mathit{baseline}}\right),0\le \mathit{s}\le 1$

${\mathit{\beta }}_{\mathit{IC}}\mathit{=}{\mathit{\beta }}_{\mathit{IC}}^{\mathit{baseline}}$

s: Screening efficacy parameter

Colonization rate HA-MRSA

(1 - η)F _H , 0 ≤ η ≤ 1

(1 - ν _CH )(1 - η)F _H , 0 ≤ ν _CH ≤ 1

ν _CH : Vaccine efficacy against HA-MRSA colonization

F _H = β _CH (CH + CHV)/N + β _IH (IH + IHV)/N

${\mathit{\beta }}_{\mathit{CH}}\mathit{=}{\mathit{\beta }}_{\mathit{CH}}^{\mathit{baseline}}-\mathit{s}\left({\mathit{\beta }}_{\mathit{CH}}^{\mathit{baseline}}-{\mathit{\beta }}_{\mathit{IH}}^{\mathit{baseline}}\right),0\le \mathit{s}\le 1$

${\mathit{\beta }}_{\mathit{IH}}\mathit{=}{\mathit{\beta }}_{\mathit{IH}}^{\mathit{baseline}}$

Decolonization rate CA-MRSA

α _C

${\mathit{\alpha }}_{{}_{\mathit{C}}}^{\mathit{*}}$

${\mathit{\alpha }}_{{}_{\mathit{C}}}^{\mathit{*}}\mathit{=}{\mathit{\alpha }}_{\mathit{C}}$

α _C = dγ _CC , 0 ≤ d ≤ 1

d: Decolonization efficacy parameter

Decolonization rate HA-MRSA

α _H

${\mathit{\alpha }}_{{}_{\mathit{H}}}^{\mathit{*}}$

${\mathit{\alpha }}_{{}_{\mathit{H}}}^{\mathit{*}}\mathit{=}{\mathit{\alpha }}_{\mathit{H}}$

α _H = dγ _CH , 0 ≤ d ≤ 1

Rate of progression to CA-MRSA infection after colonization

φ _C

(1 - ν _IC )φ _C , 0 ≤ ν _IC ≤ 1

ν _IC : Vaccine efficacy against CA-MRSA infection

Rate of progression to HA-MRSA infection after colonization

φ _H

(1 - ν _IH ) φ _H , 0 ≤ ν _IH ≤ 1

ν _IH : Vaccine efficacy against HA-MRSA infection

Vaccination prior to hospital admission

Fraction of vaccinated susceptible flowing into the hospital:

${\mathit{\lambda }}_{\mathit{SV}}\mathit{=}\mathit{c}\left(1-{\mathit{\lambda }}_{\mathit{CC}}^{\mathit{baseline}}-{\mathit{\lambda }}_{\mathit{CH}}^{\mathit{baseline}}-{\mathit{\lambda }}_{\mathit{IC}}^{\mathit{baseline}}-{\mathit{\lambda }}_{\mathit{IH}}^{\mathit{baseline}}\right)$

Fraction of vaccinated colonized CA-MRSA flowing into the hospital

${\mathit{\lambda }}_{\mathit{CCV}}\mathit{=}\mathit{c}{\mathit{\lambda }}_{\mathit{CC}}^{\mathit{baseline}}$

Fraction of vaccinated colonized HA-MRSA flowing into the hospital:

${\mathit{\lambda }}_{\mathit{CHV}}\mathit{=}\mathit{c}{\mathit{\lambda }}_{\mathit{CH}}^{\mathit{baseline}}$

Fraction of vaccinated infected CA-MRSA flowing into the hospital:

${\mathit{\lambda }}_{\mathit{ICV}}\mathit{=}\mathit{c}{\mathit{\lambda }}_{\mathit{IC}}^{\mathit{baseline}}$

Fraction of vaccinated infected HA-MRSA flowing into the hospital:

${\mathit{\lambda }}_{\mathit{IHV}}\mathit{=}\mathit{c}{\mathit{\lambda }}_{\mathit{IH}}^{\mathit{baseline}}$

Fraction of unvaccinated colonized CA-MRSA flowing into the hospital:

${\mathit{\lambda }}_{\mathit{CC}}\mathit{=}\left(1-\mathit{c}\right){\mathit{\lambda }}_{\mathit{CC}}^{\mathit{baseline}}$

Fraction of unvaccinated colonized HA-MRSA flowing into the hospital:

${\mathit{\lambda }}_{\mathit{CH}}\mathit{=}\left(1-\mathit{c}\right){\mathit{\lambda }}_{\mathit{CH}}^{\mathit{baseline}}$

Fraction of unvaccinated infected CA-MRSA flowing into the hospital:

${\mathit{\lambda }}_{\mathit{IC}}\mathit{=}\left(1-\mathit{c}\right){\mathit{\lambda }}_{\mathit{IC}}^{\mathit{baseline}}$

Fraction of unvaccinated infected HA-MRSA flowing into the hospital:

${\mathit{\lambda }}_{\mathit{IH}}\mathit{=}\left(1-\mathit{c}\right){\mathit{\lambda }}_{\mathit{IH}}^{\mathit{baseline}}$

c: Vaccine coverage parameter, 0 ≤ c ≤ 1