A Generation: In the Mosquitoes
The Vectorial Capacity Matrix Function
In previous vignettes, we established a framework for computing vectorial capacity (VC); we defined the VC matrix for metapopulations; and we defined the VC with forcing on bionomic parameters.
VC in Metapopulations
\[[V]_\ell(t, \ell) = \begin{cases} 0 & \text{if } \ell < t + \tau(t) \\ B\left(t\right) \Upsilon\left(t, \tau\left(t\right)\right) f(\ell) q(\ell) U\left(t+\tau\left(t\right), \ell\right) & \text{if } \ell > t+\tau(t) \end{cases}\] So \[V(t) = B\left(t\right) \Upsilon\left(t, \tau\left(t\right)\right) \int_{t+\tau(t)}^\infty f(\ell) g (\ell) G(t+\tau(t), \ell) d\ell\] The annual average VC is:
\[V_A = \int_0^{365} V(t) \; dt\]