Notes on: Salmani, M., van den Driessche, P., ,Department of Mathematics, Statistics, U. o. V., ,Department of Mathematics, & Statistics, U. o. V. (2006): A model for disease transmission in a patchy environment

They use a standard SEIRS Model with mobility from different patches added.

It is fairly easy to show the well posedness of the model by showing the non-decreasing nature of the ODE of the system. The upper bound is shown by summing all equations for S, E, I and R, and showing that dN/dt ≤ 0 if N = A/d.