Levins metapopulation model (source code)

= Levins metapopulation model
{c}
{title2=$\dot p=cp(1-p)-mp$}

Colonization of empty habitat at rate $c$ and extinction of occupied habitat at rate $m$ give the displayed patch-occupancy equation. The positive <equilibrium> is $1-m/c$ when $c>m$. Competition can be incorporated through replacement fluxes between patches occupied by different species.