摘要

The effects of global and local time delay on a genotype selection model driven by multiplicative and additive noises are investigated. The stationary probability distributions are derived using the small delay approximation and numerical simulations, respectively. The influences of different time delays on the stationary probability distribution are discussed. It is found that both global and local time delay can induce phase transitions, but the changes are totally different. Moreover, multiplicative and additive noise can induce phase transition whether the time delay is global or not.