  We construct an analytical model for two channel, two-body scattering
amplitudes, and then apply it in the description of the three-body $J/\psi \to
K^+K^-\pi^0$ decay. In the construction of the partial wave amplitudes, we
combine the low energy resonance region with the Regge asymptotic behavior
determined from direct two-body production. We find that resonance production
in the $K\pi$ channel in $J/\psi$ decays seems to differ from that observed in
direct $K\pi$ production, while the mass distribution in the $K\bar K$ channel
may be compatible.
