摘要
本文运用Liapunov第二方法，论证了功能反应函数为x～(1/x)的食饵-捕食系统x=x-ax-2~3-x^(1/x)y,βy=-sy+βx^(1/x)y-εy^2唯一正平衡点的稳定性．其次将该系统化为二次微分系统Ⅲ类方程的标准形式，进而研究了极限环的存在唯一性问题．
In this paper,the authors use second liapunov method to prove the stabitity of uniquepositive balance drop which functional reaction function is,x^(1/2) Prey-Predacious system x=x-ax_2~3-x^(1/x)y,y=-sy+βx^(1/x)y-εy^2,and converted this system into the standard form of differential system Ⅲclass, equation of second order thus the authors studies existence and uniquenes question of limit circle.
出处
《生物数学学报》
CSCD
1998年第3期329-333,共5页
Journal of Biomathematics
