二次logistic方程的全局稳定性

GLOBAL STABILITY FOR A LOGISTIC EQUATION

研究二次logistic方程 xn+ 1=xner( 1-xn-ax2n) ,其中常数a ,r>0 ,得到了此方程的唯一正平衡点 x 全局稳定的充要条件 .

A logistic equation of degree 2 of form x n+1 =x n e r(1-x n-ax 2 n) , is considered, where a,r>0 are contants. A neccessary and sufficient condition for this equation to be globally stable is obtained.