Solution (source code)

= Solution

The term $-IS$ removes healthy foxes through mass-action contact with infectives. The Laplacian $\nabla^2I$ models random migration of infected foxes. The matching term $+IS$ creates newly infected animals, while $-\mu I$ removes infectives at per-capita rate $\mu$. The equation $R_t=\mu I$ records those removed from infectious <circulation>, for example foxes that have died from rabies; they neither migrate nor return to susceptibility in this model.