We propose two new decay modes for the processes of ω→${\mathrm{\pi }}^0$${\mathrm{\pi }}^{+}$${\mathrm{\pi }}^{\mathrm{-}}$ and ${\mathrm{\rho }}^0$→${\mathrm{\pi }}^0$${\mathrm{\pi }}^0$${\mathrm{\pi }}^{+}$${\mathrm{\pi }}^{\mathrm{-}}$, respectively, and calculate their decay rates in terms of their corresponding modes ω→${\mathrm{\rho }}_{\to \mathrm{\pi }}^{+}$+${\mathrm{\pi }}^{\mathrm{-}0\mathrm{*}}$+${\mathrm{\pi }}^0$,${\mathrm{\rho }}^0$ →${\mathrm{\omega }}_{\to \mathrm{\pi }}^0$+${\mathrm{\pi }}^{+}$+${\mathrm{\pi }}^{\mathrm{-}\mathrm{*}}$+${\mathrm{\pi }}^0$. The principal finding of our present paper is that the experimental decay rate of ω can successfully be reproduced while the theoretical rate for ${\mathrm{\rho }}^0$ decay is under an experimental upper limit. The isospin forbidden decays ${\mathrm{\rho }}^0$→${\mathrm{\pi }}^0$${\mathrm{\pi }}^{+}$${\mathrm{\pi }}^{\mathrm{-}}$ and ω→${\mathrm{\pi }}^0$${\mathrm{\pi }}^0$${\mathrm{\pi }}^{+}$${\mathrm{\pi }}^{\mathrm{-}}$ are also investigated in different ${\mathrm{\rho }}^0$→ω mixing models in this paper. The coupling of ${\mathrm{\rho }}^0$${\mathrm{\rho }}^0$${\mathrm{\pi }}^0$ and ωω${\mathrm{\pi }}^0$ vertices and the ${\mathrm{\rho }}^0$→ω mixing model are derived from the rotation of ${\mathrm{\rho }}^0$ and ω wave functions. We find that the processes containing vertices ${\mathrm{\rho }}^0$${\mathrm{\rho }}^0$${\mathrm{\pi }}^0$ and ωω${\mathrm{\pi }}^0$ contribute very largely to ${\mathrm{\rho }}^0$→${\mathrm{\pi }}^0$${\mathrm{\pi }}^{+}$${\mathrm{\pi }}^{\mathrm{-}}$ and ω→${\mathrm{\pi }}^0$${\mathrm{\pi }}^0$${\mathrm{\pi }}^{+}$${\mathrm{\pi }}^{\mathrm{-}}$ decays.

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