The SEI module for the MY component

Source: R/adult-MY-SEI.R

Implements the MY component using a Susceptible-Exposed-Infectious (SEI) compartmental model of adult mosquito infection dynamics.

State Variables

M

density of adult mosquitoes

Y

density of infected (exposed) adult mosquitoes

Z

density of infectious adult mosquitoes

Parameters

f

blood feeding rate

q

human blood fraction

g

mosquito mortality rate

sigma

patch emigration rate

mu

emigration-related loss

eip

extrinsic incubation period (\(\tau\))

nu

oviposition rate (per mosquito)

eggsPerBatch

eggs laid per oviposition bout

Dynamics

$$ \begin{array}{rl} dM/dt &= \Lambda - \Omega \cdot M \\ dY/dt &= fq\kappa(M-Y) - \Omega \cdot Y \\ dZ/dt &= (Y-Z)/\tau - \Omega \cdot Z \\ \end{array} $$ where \(\Omega\) is the demographic matrix encoding mortality and dispersal, and \(\kappa\) is the net infectiousness of humans.