Qualitative Analysis of a Predator-Prey System with Mutual Interference

摘要：

A predator-prey system with mutual interference is analyzed by using qualitative analysis, hopf bifurcation and stability theory of ordinary differential equation. The finding of numerical simulations and theoretical analyses show that the interaction among three species may cause one of predator species becomes extinct, the other two species coexist in the form of positive equilibrium state or periodic oscillation; or both of them become extinct; or all three species tend to permanent state.

关键词： Predator-prey model Holling Ⅳ functional response Interference Stability Hopf bifurcation Permanence

作者: Jun Li Wen Tao Yu

作者单位: Nanjing University of Science and Technology,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: 1655-1661

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）