This implements differential equation model for aquatic mosquito ecology. The equations have been modified slightly from a version published by Smith DL, et al. (2013); this version includes delayed maturation i in response to mean crowding.
Variables:
\(L\): the density of mosquito larvae in each habitat
Parameters and Terms:
\(\eta\) or
eta: egg deposition rate (from F_eggs)\(\psi\) or
psi: maturation rate\(\xi\) or
xi: delayed maturation parameter in response to mean crowding\(\phi\) or
phi: density-independent death rate\(\theta\) or
theta: the slope of the mortality rate in response to mean crowding
Dynamics:
$$dL/dt = \eta - (\psi\;e^{-\xi L} + \phi + \theta L)L$$
Per-capita mortality is thus \(\phi + \theta L\), and the emergence rate of adult mosquitoes is \(\psi e^{-\xi L} L \)
Usage
# S3 method for class 'basicL'
dLdt(t, y, pars, s)Value
a numeric vector