 Globally coupled underdominant metapopulation

This model couples deterministic underdominant allele-frequency dynamics in equal-sized habitats by global migration. Starting with $m$ pure habitats of one allele and $N-m$ of the other preserves two within-class frequencies $x,y$, reducing the system to $\dot{x}=f(x)-\sigma (1-q)(x-y)$, $\dot{y}=f(y)+\sigma q(x-y)$ with $q=m/N$. Migration is conservative in the mean, but selection need not conserve global allele frequency.