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. © 2012 Elsevier Inc.

herd immunity Migration Epidemics Vaccination

Models, Biological Vaccines disease activity Population Dynamics epidemiology modeling policy disease eradication immunity mathematical model algorithm epidemiological data Epidemics disease surveillance Humans Diseases linear system population research Article epidemic disease control Herd immunity disease free interval Epidemiological models Migration rates SIR model migration Immunity, Herd Optimal placements endemic disease disease predisposition convalescence Emigration and Immigration disease severity mathematical computing vaccination treatment planning measles