期刊文献+

具有时滞和比率的Holling-Ⅲ Leslie系统的Hopf分支 被引量:2

Hopf bifurcation of Holling-Ⅲ Leslie system with delay and ratio
下载PDF
导出
摘要 建立并分析了一类基于比率的Holling-Ⅲ类功能性反应且具有时滞的Leslie形式的捕食者数量反应的捕食-食饵系统,讨论了平衡点的存在性,分析了系统的稳定性,得出了Hopf分支存在的充分条件,并对系统进行了数值模拟. In this paper, we study a predator-prey system with ratio-dependent Holling-III functional response and the predator's numerical response with delayed Leslie.The existence and the stability of positive equilibrium are studied, and the sufficient condition of Hopf bifurcation is obtained. The system is numerically simulated.
作者 邹娓 谢杰华
出处 《南昌工程学院学报》 CAS 2007年第6期37-40,共4页 Journal of Nanchang Institute of Technology
基金 南昌工程学院青年基金项目资助(2006KJ035)
关键词 捕食-食饵系统 时滞 Holling—III功能性反应 HOPF分支 predator-prey system delay Holling- Ⅲ functional response Hopf bifurcation
  • 相关文献

参考文献3

  • 1Yilong Li, Dongmei Xiao, Bifurcations of a predator-prey system of Holling and Leslie types[J]. Chaos, Solitons and Fractals, 2007,34:606 - 620.
  • 2Chengjun Sun, Yiping Lin, Maoan Han. Stability and Hopf bifurcation for an epidemic disease model with delay [ J ]. Chaos, Solitons and Fractals, 2006,30: 204 - 216.
  • 3Yongli Song, Junjie Wei. Local Hopf bifurcation and global periodic solutions in a delayed redator-prey system[ J]. Math Anal Appl,2005, 301 : 1 - 21.

同被引文献18

引证文献2

二级引证文献2

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部