Parasite dispersal by mosquitoes

Compute the p by p matrix $\mathcal{V}$ whose columns describe how infective bites arising from all the mosquitoes biting a single human on a single day are dispersed to other patches, accounting for movement and mortality. $$\mathcal{V} = fq\Omega^{-1} \cdot e^{-\Omega\tau} \cdot \mbox{diag}\left(\frac{fqM}{W}\right)$$