Problem SE9

The metapopulation dynamics of the fork-tailed viper Vipera forceps at Mont Ventoux can be approximately described by a Levins-like model in which the extinction probability rate e of each local population is 0.05 year$^{-1}$ while the colonization coefficient c from occupied to empty patches is 0.075 year$^{-1}$. Calculate the fraction of extinct local populations at equilibrium.