When multiple origin populations differ in their dynamics, the destination population inherits cycles over steady states. As in Fig \ref{621939}, rows indicate population classes, and columns the component populations. Here, we have populations A and B feeding into population C at the same rate of δ = 0.05. Populations A and C are parametrized to produce steady state dynamics in the absence of migration, with σ = 8, μ = 0.1, γ = 0.66, and β corresponding to a \(\tilde{R_0} = 2\). Population B shows cyclical dynamics with β corresponding to a \(\tilde{R_0} = 5\) and all other parameters the same. Note that, even though the parameters of population C would lead to a steady state in the absence of migration, we see cyclical dynamics being inherited from population B. We use a two-loci, two-allele strain structure, but show only one strain for clarity.