ine{\tau m_{[t-1]}}}} \\
     	\overline{\overline{Af_{(t)}^{i}}}=
     \sum{\overline{\overline{A_{f}^j}} \otimes \overline{\overline{\tau f_{[t-1]}}}}
$$
In these equations the new population of the patch \(i\) is calculated by
summing the migrating mosquitoes of all the \(j\) patches across the network
defined by the transitions matrix \(\tau\), which stores the mosquito migration
probabilities from patch to patch. It is worth noting that the migration
probabilities matrices can be different for males an