I have set up an epidemic model, which works like this (mathematically):
A graph is plotted. We start at a point $(0,y_1)$. We then move along the 'x' axis for a random length determined by an exponential random variable. After this, at the graph randomly moves up one ,$y_1 + 1$, or moves down one, $y_1 - 1$. This process then keeps going on either until we reach $(0,0)$ or a set value along the x axis.
In terms of epidemiology, the 'y' axis represents the number of people infected by a disease, $y+1$ implies an infection, $y - 1$ implies a recovery, the 'x' axis represents the time between either an infection or a recovery.
I have been told to plot a histogram. They haven't told me what to plot it on, so its my choice. From this kind of model, what can I plot a histogram on?