一类基于比率且具双线性密度制约的捕食-食饵系统的全局稳定性分析  

Global Stability Analysis of a Ratio-dependent Predator-prey System with Double Density Dependent

作　　者：鲁铁军[1] 王美娟[1] 刘妍[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《生物数学学报》2008年第4期617-622,共6页Journal of Biomathematics

摘　　要：研究一类基于比率和具双线性密度制约的捕食-食饵系统.由Bendixson环域定理及比较定理给出了奇点(0,0)和(1,0)全局渐近稳定的条件,通过对等倾线的研究给出了正平衡点存在的条件,并构造了Dulac函数讨论其全局渐近稳定性.A ratio dependent predator-prey system with double density dependent is considered. The sufficient condition of the global asymptotic stability for the singular point and are given using Bendixson theorem and comparison theorem. The sufficient condition of the existence of the positive singular point is given by studied the isoclines, and global asymptotic behavior of the positive singular point is discussed by constructed Dulac function.

关 键 词：比率 DULAC函数 全局渐近稳定 功能性反应 Bendixson环域定理 

分 类 号：O175.13[理学—数学]