摘要
研究了一类受顶级掠食者出现影响的捕食-食饵模型正平衡态解的存在性.利用分歧理论及度理论等方法,给出了局部分歧解存在的充分条件,将局部分歧解延拓为全局分歧解,给出分歧曲线随参数的整体走向,同时判定了局部分歧解的稳定性.
The existence of positive solutions of the steady-state system of a predator-prey model with top predator＇s effect is discussed.By using the bifurcation theory and degree theory,the sufficient conditions for the existence of local bifurcation solution is given,and the local bifurcation solution is extended to the global bifurcation solution,and the direction of the bifurcation solution is established,meanwhile,the stability of the local bifurcation solution is determined.
出处
《纺织高校基础科学学报》
CAS
2015年第1期48-53,共6页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(011271236)
关键词
顶级掠食者
分歧理论
特征值
不动点指标
top predator
bifurcation theory
eigenvalue
the index of the fixed point
