取整对Logistic种群模型动态的影响

Effects of Integer on the Dynamic of Logistic Population Model

不考虑环境嗓音,Logistic取整模型的种群动态是非混沌的,只会出现稳态和周期；在1＜r＜3和0＜r＜1区间,取整模型较原始模型能较快收敛到定态或者灭绝；增大K不能消除取整效应；取整模型周期长度受初值、K值和r值的影响；取整是混沌控制的一条新途径,它可能是自然种群中很少能检测到混沌的重要原因之一．

Without regard to noise, the population dynamic characterized by Logistic Integer model is no-chaos, can display only stable points and periodic cycles. Convergency speed for 1 〈 r 〈 3 and extinction speed for 0 〈 r 〈 1 in Integer models are more faster than those of in Original model. Increasing of the parameter K can not eliminate the integer effects. The periodic cycles of Integer model are affected by initiate value X0, parameter K and r. Integer, as a new way to control chaos, maybe play an important role in which chaos can be detected hardly in natural population.