摘要
研究了具有Beddington-DeAngelis功能反应函数的阶段结构捕食-食饵模型。通过对模型正平衡点处特征方程根的分布的研究,得到了正平衡点局部渐近稳定的充分条件,分析得出在一定条件下,当时滞τ超过临界值时正平衡点经历Hopf分支,从正平衡点分支出一族周期解,同时给出数值模拟的例子。
The stage-structured predator-prey model with Beddington-DeAngelis functional response was studies. By analyzing the locations of the roots of the associated characteristic equation, sufficient conditions were obtained for the local stability of the positive equilibrium. Under some conditions, when time delay 7 exceeds the critical value, the positive equilibrium point will experience Hopf bifurcation, bifurcating a family of periodic solutions from the positive equilibrium. Examples of numerical simulations were given.
出处
《昆明冶金高等专科学校学报》
CAS
2010年第1期65-69,共5页
Journal of Kunming Metallurgy College
基金
大理学院青年教师基金资助项目:种群动力学模型的渐近行为(2008X34)
关键词
时滞
阶段结构
稳定性
HOPF分支
time delay
stage-structure
stability
hopf bifurcation
