Mean first-passage time of a bistable kinetic model driven by two different kinds of coloured noises

The transient properties of a bistable system are investigated when both the multiplicative noise and the coupling between additive and multiplicative noises are coloured with different correlation time τ1 and τ2. The mean first-passage time (MFPT) is obtained. The numerical computations show that the intensities of additive and multiplicative noises and the coupling strength λ affected the MFPT in the same way, while τ1 and τ2 play different roles in the MFPT. The increase of τ1 can reduce the escape rate, while increase of τ2 can enhance the escape rate.