In this Letter we discuss a bistable model driven by two white noise s
ources, when the correlation time of the correlations between two sour
ces tau is nonzero. We find that there is a critical value of the corr
elation time tau(c). For tau > tau(c), the system undergoes a successi
on of two phase transitions (namely, the reentrance phenomenon) as the
strength of the correlations between two noise sources lambda is vari
ed. However, for tau < tau(c), the system undergoes a (single) phase t
ransition as lambda is varied.