| make_Q_SEI {MGDrivE2} | R Documentation |
Rate Matrix (Q) for Adult Mosquito SEI Dynamics
Description
Construct the infinitesimal generator matrix for (individual) adult female infection dynamics. Adult females follow SEI (Susceptible-Exposed-Infectious) style dynamics with a Gamma distributed EIP, with a mean duration 1/q and variance 1/nq^2 (following shape-scale parameterization, EIP ~ Gamma(n,1/nq)). This function only constructs the rate matrix for either a single mosquito or cohort that all emerged at the same time (the rate matrix for a population with emergence is infinite in dimension).
Usage
make_Q_SEI(q, n, mu, c, a, x)
Arguments
q |
related to scale parameter of Gamma distributed EIP (1/q is mean length of EIP) |
n |
shape parameter of Gamma distributed EIP |
mu |
mosquito mortality rate |
c |
human to mosquito transmission efficiency |
a |
human biting rate |
x |
prevalence of disease in humans |
Value
rate matrix for a single (emergence) cohort of SEI mosquito