摘要
运用微分方程定性理论和分支理论,证明了具有arctan(ax)功能性反应的带收获的捕食系统的超临界和亚临界Hopf分支存在的条件,并给出了数值模拟结果.
In this paper, by using the analysis of qualitative method and bifurcation theory, it is shown that the system we considered can exhibit the subcritical and supercritical Hopf bifurcation. Furthermore, numerical simulations are performed to illustrate the obtained results.
出处
《陕西科技大学学报（自然科学版）》
2008年第5期39-42,共4页
Journal of Shaanxi University of Science & Technology
关键词
捕食系统
功能性反应
HOPF分支
极限环
predator-prey system
functional response
Hopf bifurcation
limit cycle
