1. # Growth models

Sun 13 December 2015

## Logistic model

### A resource consumption view

Consider a resource consumption model that follows the density of a single microbial species through time $N(t)$ and the density of that species’ limiting resource $R(t)$:

$\frac{dR}{dt} = -a R N \ \frac{dN}{dt} = \epsilon a R N$

where $a$ is ...