We found that the dynamics of prevalence and immunity among migrationally connected populations are not independent, and that even very small rates of population movement can have profound effects on a population's disease dynamics: from reducing pathogen prevalence to changing the dynamical regime of destination populations entirely. Our findings regarding the reduction in cycle amplitude (Section \ref{623830}) echo results in dispersal networks in ecology, where population dynamics were dampened following the introduction of migration \cite{Holland2008}.