在细菌的Logistic生长过程中,考虑两种噪声的干扰作用,用Fokker-Planck方程,给出了稳态概率密度函数的表达式.通过引入适当的噪声,结果表明噪声的关联程度越高,越不利于细菌的生长;另一方面,加性噪声对概率密度分布具有扩散作用,乘性噪声对概率密度分布具有漂移作用.
The effect of white noises on the growth of cells Logistic equation is discussed in the paper.Through using Fokker-Planck equation,the function of probability density is obtained.It is found that additive noise can cause probability density diffusion,and multiplicative noise can lead to the drift of probability density.