摘要
给出了一类斑块环境下具HollingII型功能反应函数的捕食-食饵模型,通过分析系统雅可比矩阵特征值,得到了系统局部稳定的一个充分条件,并运用Dulac判据,得出其正平衡点全局稳定性的一个充分条件。
A predator-prey model with per. By analyzing eigenvalue about the local stability of model are established. cient conditions for the global stability HollingII in patch environment is investigated in this pa- Jacobian matrix of the model, sufficient conditions for the Then, with the help of the Dulac Judge Theorem, suffi- of the predator-prey model are established.
出处
《唐山学院学报》
2013年第3期17-18,28,共3页
Journal of Tangshan University
关键词
斑块环境
平衡点
局部稳定
极限环
全局稳定
patch environment
equilibrium point
local stability
limit cycle
global stability