带有双参数Volterra模型的全局结构分析  

Global Structure Analysis of Volterra Model with Two Parameters

作　　者：刘艺艺[1] 窦霁虹[1] 赵红妮[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《延安大学学报（自然科学版）》2013年第2期20-25,共6页Journal of Yan'an University：Natural Science Edition

基　　金：陕西省教育厅自然科学专项基金(11JK0511)

摘　　要：在实平面内讨论了一类特殊双参数推广的Lotka-Volterra模型的全局结构,得到双参数模型的定性性质以及参数变化对奇点性态的影响,也说明了模型在描述生态学中捕食-食饵模型的实际意义。推广了王锋在《一类Volterra模型的全局结构分析》一文中的结论。There is a special model with two parameters in the promotion of the Lotka - Volterra model. The global structure was discussed in the real plane, and the qualitative properties and the quality of the singular points were in- fluenced by the change of the parameters are analyzed. Also discussed the practical meaning of the model in the de- scription of the relations between the hunter and their foods. The results of Wangfeng$ discussion were promoted.

关 键 词：奇点 全局结构 生态意义 

分 类 号：O175.12[理学—数学]