环境涨落对单一物种演化过程的定态性质的影响

Effects of Environment Fluctuation on the Stationary Probability Of Evolvement for Single Biologic Species

由于环境的复杂性，在Ｌｏｇｉｓｔｉｃ方程中必须计及涨落因素的影响。通过求解随机的Ｌｏｇｉｓｔｉｃ方程，讨论了噪声参量对物种演化过程中定态性质的影响。得到噪声关联参数λ对定态几率分布曲线的影响很小：随噪声强度增大，物种数量的平均值减少，而噪声关联参数λ对物种数量协方差的影响很大。

It is necessary that effects of fluctuation are discussed in the Logistic Equation because of complexity of environment. Evaluating the stochastic Logistic equation in the paper, we study the effects of the noise parameters on stationary property of biologic species evolvement. We obtain that the effects of the correlation parameters λ on stationary probability distribution (SPD) is small, the mean value of the species quantity becomes decreasing with the noises intensity increasing, and the effects of the correlation parameters λ on the covariance of the species quantity is large.