文献类型：会议论文

英文题名：Stability of Ratio-Dependent Predator-Prey System with Density Dependence

作者：Li, Haiyin[1];Takeuchi, Yasuhiro

第一作者：李海银

通讯作者：Li, HY[1]

机构：[1]Henan Univ Finance & Econ, Dept Math & Informat, Zhengzhou 450002, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Finance & Econ, Dept Math & Informat, Zhengzhou 450002, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

会议论文集：7th Conference on Biological Dynamic System and Stability of Differential Equation

会议日期：MAY 14-16, 2010

会议地点：Chongqing, PEOPLES R CHINA

语种：英文

外文关键词：density dependent predator; ratio-dependence; permanence; lyapunov function; global stability

摘要：The ratio-dependent predator-prey system both prey and predator with density dependence is systematically considered. The explorations involve the permanence, local and global asymptotic stability of the positive equilibrium for the system under appropriate conditions by using stability theory of differential equations and Lyapunov function.