Exploration of the dynamics of the mayfly population model. Due 8:00pm, Friday, March 2.

Write a report that (briefly) describes how we devised the mayfly population model, and then shows the richness of dynamical behavior that the model generates using the best collection of plots that you can create. (Plots of x vs t and x vs b are both appropriate, and the latter is essential.)

Attempt to explain some aspect(s) of the the dynamics that you find interesting.

Also explain what the butterfly effect is, and show examples of where the mayfly population model exhibits this effect and doesn't, using appropriately chosen parameter values, initial conditions, and plots.