Qualitative Analysis in a Predator-prey System With Undercrowding Effect and Stocking Rate

摘要：

The predator-prey system with undercrowding effect and constant stocking rate is investigated. The sufficient conditions for the global stability of positive equilibrium and the uniqueness of the limit cycle are obtained. The sufficient condition of Hopf bifurcation is obtained by focus quantity. Finally, the numerical simulation result of population system is obtained by using the Matlab software.

关键词： Positive equilibrium Global stability Limit cycle Hopf bifurcation

作者: Dong-mei Li Shi-tao Li Yan-yan Ao

作者单位: Applied Science College,Harbin University of Science and Technology,Harbin 150080, China Department of Basic Course, Shenyang University of Technology, Liaoyang 111000, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1585-1592

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）