摘要
主要运用了线性全连续场的谱理论、中心流形约化以及跃迁理论,研究了Volterra竞争模型的动态分歧,并且得到了该模型在一定条件下跃迁类型的判别数,判断了跃迁的类型,给出了分歧解的表达式,最后对获得的结果作了必要的解释.
This paper studies the dynamic bifurcation of the Volterra competitive model by using the spectrum theory of the linear completely continuous fields, center manifold reduction and transition theory. With certain conditions, the distinguished number of transition is judged, the expression of bifurcated solution is given. Finally, necessary justification is also made about the results obtained.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2013年第5期669-672,共4页
Journal of Sichuan Normal University(Natural Science)
基金
四川省教育厅青年基金(12ZB108)资助项目
关键词
Volterra竞争模型
中心流形定理
谱理论
跃迁
动态分歧
Volterra competitive model
center manifold theorem
spectrum theory
transition theory
dynamic bifurcation