Abstract
The effects of global and local time-delay on a genotype selection model driven by colored or sine-Wiener noise are investigated. The stationary probability distributions are derived by simulating the Langevin Equation directly. It is found that compared to the colored noise, the bounded noise can enhance transitions, though they have the same mean and stationary correlation. Local time-delay and the global one have opposite role in the system with different noises. When time-delay is global, neither the colored noise nor the sine-Wiener noise can induce phase transitions.
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