Department of Mathematics, Harbin Institute of Technology, Weihai 264209, PR China.
J Theor Biol. 2010 Jun 7;264(3):934-44. doi: 10.1016/j.jtbi.2010.03.008. Epub 2010 Mar 7.
A new single-species model disturbed by both white noise and colored noise in a polluted environment is developed and analyzed. Sufficient criteria for extinction, stochastic nonpersistence in the mean, stochastic weak persistence in the mean, stochastic strong persistence in the mean and stochastic permanence of the species are established. The threshold between stochastic weak persistence in the mean and extinction is obtained. The results show that both white and colored environmental noises have sufficient effect to the survival results.
建立并分析了一个在污染环境中同时受到白噪声和色噪声干扰的新单物种模型。建立了灭绝、均值随机非持续性、均值随机弱持续性、均值随机强持续性和物种随机持久性的充分准则。得到了均值随机弱持续性与灭绝之间的阈值。结果表明，白噪声和色噪声环境噪声对生存结果都有足够的影响。
