A spatially aware, agent based model of disease spread. There are three classes of people: susceptible (healthy), infected (sick and infectious), and recovered (healthy and temporarily immune).

@LinkedIn, Twitter, YouTube

Minimal model of glucose kinetics by Bergman, used to calculate insulin sensitivity from an Intravenous Glucose Tolerance Test (IVGTT). Plasma insulin I(t) enters a remote compartment X(t) where it is active in accelerating glucose G(t) disappearance into the periphery and liver, and inhibiting hepatic glucose production. Adapted from Minimal Models for Glucose and Insulin Kinetics: A Matlab implementation by Natal van Riel, Eindhoven University of Technology 2004 by Mark Heffernan.

With these two terms the equation above can be interpreted as: the change in the prey's numbers is given by its own growth minus the rate at which it is preyed upon.

The predator equation becomes

dy/dt =  - 

In this equation, {\displaystyle \displaystyle \delta xy} represents the growth of the predator population. (Note the similarity to the predation rate; however, a different constant is used as the rate at which the predator population grows is not necessarily equal to the rate at which it consumes the prey). {\displaystyle \displaystyle \gamma y} represents the loss rate of the predators due to either natural death or emigration; it leads to an exponential decay in the absence of prey.

Hence the equation expresses the change in the predator population as growth fueled by the food supply, minus natural death.