  We consider the interplay of vaccination and migration rates on disease
persistence in epidemiological systems. We show that short-term and long-term
migration can inhibit disease persistence. As a result, we show how migration
changes how vaccination rates should be chosen to maintain herd immunity. In a
system of coupled SIR models, we analyze how disease eradication depends
explicitly on vaccine distribution and migration connectivity. The analysis
suggests potentially novel vaccination policies that underscore the importance
of optimal placement of finite resources.
