Derivatives for basicL (L Component)

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 \(\psi e^{-\xi L} L \)