随机非自治Logistic模型

Random Non-autonomous Logistic Models

该文主要利用马尔可夫骨架过程理论和方法研究在随机干扰下,非自治Logistic模型:x′(t)=rx(t)(1-(X(t))/(K(t)))(K(t)>0).得到了模型的一维分布、稳定性条件以及渐近性质.

This paper is devoted to studying the non-autonomous Logistic model：X′（t）=rX（t）（1-（X（t））/（K（t）））（K（t）〉0）with random disturbance by using the theory of Markov skeletonprocesses, and its one-dimensional distribution and condition for stability are presented.