一类基于比率的Holling-(n+1)型捕食系统的定性分析  

Qualitative analysis of a ratio-dependent predator-prey system with Holling-(n+1) functional response

作　　者：申素慧[1] 原三领[1] 罗建梅[1] 赵瑜[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2009年第1期11-13,共3页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(10871129);上海市教委科研资助项目(09YZ208)

摘　　要：考虑了一类基于比率的Holling-(n+1)型功能性反应函数的捕食者食饵系统,得到了系统耗散和各类平衡点全局渐近稳定的条件.A ratio-dependent predator-prey system with Holling-（ n ＋ 1） functional response was considered. By using comparison principle, the sufficient condition for dissipation of the system and the global asymptotic stability of the singular points （0,0）, （1,0） were obtained. Global asymptotic stability of the positive point was discussed by constructing Liapunov function.

关 键 词：比率 功能性反应 全局渐近稳定 LIAPUNOV函数 

分 类 号：O175.1[理学—数学]