迁移在一类二种群竞争模型中引起的分岔  

Bifurcations Caused by Migration in Two Species' Competitive Model

作　　者：王瑞平[1] 

机构地区：[1]上海财经大学金融学院,上海200433

出　　处：《河南大学学报（自然科学版）》2013年第3期237-240,共4页Journal of Henan University:Natural Science

基　　金：国家自然科学基金资助项目(11271252)

摘　　要：首先研究了迁移在一类生存在两地的二种群竞争模型中引起的分岔,其中包括这类竞争模型的所有平衡点的基本动力学以及迁移在这类模型中引起的平衡点的稳定性的变化,还包括共存平衡点发生各类分岔的临界条件;其次,给出了一个例子来刻画上述结果.通过研究发现这类模型中的迁移不能改变所有平衡点的不稳定性.这是从以前的研究结果中无法猜测到的结论.Firstly,this paper explores bifurcations caused by migration between two patches in a kind of two species＇ competitive models.This study includes general dynamics of all equilibrium,changes of stabilities of equilibrium occurring in migration and critical conditions of bifurcations across which coexisting equilibrium loses its stability.Secondly,one example is designed to illustrate the main results.This research found that migration can not change an unstable equilibrium into a stable equilibrium in this kind of model.This is beyond the scope of prediction according to known conclusions.

关 键 词：分岔 Turing分岔 静态分岔 竞争Lotka-Volterra系统 迁移 

分 类 号：O175.13[理学—数学]