摘要
考虑具非线性平均增长率的Ｌｏｇｉｓｔｉｃ方程 这里ｒ，ａ，ｂ都是正常数，本文证明了方程（１）的一切解关于 ｋ振动的充要条件是 ｋｒ（ａ＋２ｂｋ）＞１，其中ｋ是方程（１）的唯一的正平衡解。同时获得了方程（１）的正平衡解ｋ是渐近稳定与全局渐近稳定的充分条件．
The Logistic difference equation with nonlinear average growth is considered, where a, b, r > 0, are constant. A necessary and sufficient condition for all positive solutions of (1) to oscillate about the equilibrium k, and sufficient conditions for the global attractivity of the equilibrium k of (1) are obtained.
出处
《生物数学学报》
CSCD
1999年第1期56-60,共5页
Journal of Biomathematics
