摘要
运用非线性系统理论研究了一类浮游生态系统模型,分析了平衡点的稳定性,给出并证明了系统极限环的存在唯一性条件.同时运用分支理论,对系统hopf分叉问题进行了讨论.最后,通过计算机仿真,对文中论述进行了验证.
This paper studied a model of plankton ecosystem by nonlinear system theory, and considered the stability of equilibrium points. Also obtained the existence and uniqueness of limit cycles, and discussed Hopf bifurcation of the system using bifurcation theory. Finally, gave verification for the discussion in this paper by numerical simulation.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第24期244-250,共7页
Mathematics in Practice and Theory
基金
陕西省自然科学基础研究基金(2011EJ001)
陕西省教育厅科研计划项目(12JK1077
12JK1073)
西京学院科研基金(XJ120107
XJ120108
XJ120232)
