功能性反应函数为x^(1/2)的食饵-捕食者系统的定性分析

The qualitative analysis for a predator-prey system with functional response function x^(1/2)

研究功能性反应函数为x的食饵-捕食者系统dx/dt=x(a-bx1/2-x)-cyx1/2,dy/dt=y(-d+ecx1/2),讨论了该系统的平衡点及极限环的存在性与唯一性及不存在性.

Introduces a predatorprey system with functional response function√x： dx/dt = x（a - bx1/2 - x） - cyx1/2, dy/ dt = y（ - d ＋ ecx1/2 ）. Discusses the critical point and the existence, unique- ness and nonexistence of the limit cycle in this system.