SIS model (source code)

= SIS model
{c}
{title2=$\dot I=\beta I(1-I)-\gamma I$}

An <SIS model> returns recovered hosts directly to susceptibility, so immunity does not accumulate. For homogeneous frequency-dependent transmission, a positive endemic state exists at $I_*=1-1/\mathcal R_0$ when $\mathcal R_0=\beta/\gamma>1$. This epidemiological model is distinct from the galaxy-dynamics abbreviation SIS for a singular isothermal sphere.