摘要
研究了一类特殊的捕食-食饵模型正解的分歧,给出了正解的先验估计及正常数解的稳定性,利用特征值和单特征值的局部分歧理论,证明了系统在半平凡解附近出现分支。
The bifurcation of the positive solutions is discussed for a special predator-prey model. A priori estimate for positive solutions and the stability of the constant positive solution are established. By using the local bifurcation theory, of digenvalue and simple eigenvalue, the bifurcation from the semi-trivial solution is obtained.
出处
《洛阳理工学院学报（自然科学版）》
2010年第1期71-75,共5页
Journal of Luoyang Institute of Science and Technology：Natural Science Edition
基金
河南省自然科学基金资助项目(092300410150)
关键词
捕食-食饵模型
分歧
平凡解
predator-prey system
bifurcation
trivial solution
