State

Strategy

Healthy

Infected

Vaccinated (V)

$HV\left(x,y,\infty \right)$

Vaccinated yet infected with either strain

$I{V}_P\left(x,y,\infty \right)$

$I{V}_S\left(x,y,\infty \right)$

Self-protected (M)

$HM\left(x,y,\infty \right)$

Self-protected yet infected with either strain

$I{M}_P\left(x,y,\infty \right)$

$I{M}_S\left(x,y,\infty \right)$

Non-provisioned (free-rider, F)

$SFR\left(x,y,\infty \right)$

Failed-free-rider as infected with either strain

$FF{R}_P\left(x,y,\infty \right)$

$FF{R}_S\left(x,y,\infty \right)$