捕食被捕食三种群系统平衡点稳定性的分析  

Analysis of Stability for Predator-prey Three-species System

作　　者：林琳[1] 雒志学[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《兰州交通大学学报》2007年第1期142-145,共4页Journal of Lanzhou Jiaotong University

基　　金：国家自然科学基金(604730304);兰州交通大学‘青蓝’人才工程基金资助计划资助(QL-05-18A)

摘　　要：根据3种群间的相互作用,建立了3个不同的具有捕食被捕食关系的数学模型.利用微分方程稳定性理论研究了3种群模型边界平衡点的稳定性,同时分别采用3种不同方法获得了3模型正平衡点的稳定的条件.In this paper,three different predator-prey models are established according to the interaction of three species. The stabilities of the boundary equilibrium points of predator-prey three-species models are discussed by the stability theory of ordinary differential equation. Moreover, some conditions of the stability of the models＇ positive equilibrium points are obtained by three different methods.

关 键 词：食饵-捕食者 平衡点 稳定性 

分 类 号：O175.1[理学—数学]