具Holling Ⅲ功能反应捕食系统的稳定性分析  

Stability Analysis of the Predator-prey System with Holling Ⅲ Functional Response

作　　者：丁建华 

机构地区：[1]甘肃有色冶金职业技术学院化学工程系,甘肃金昌737100

出　　处：《洛阳理工学院学报（自然科学版）》2014年第1期56-59,共4页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：国家自然科学基金项目(10771048)

摘　　要：研究了具Holling Ⅲ功能反应的捕食-食饵三种群捕获模型,采用Routh-Hurwitz判别法得到正平衡点局部渐近稳定性的充分条件。This paper has studied three predator-prey harvesting models with Holling Ⅲ functional response, and obtained sufficient conditions of local asymptotical stability for positive equilibrium by applying Routh-Hurwitz criteria.

关 键 词：平衡点 稳定性 功能反应 

分 类 号：O175.14[理学—数学]