Prey growth for the Smith and Ratio-dependent based stability of a Predator-prey system with Holling Ⅲ

摘要：

In this paper, the prey growth model for the Smith and ratio-dependent predator-prey system with functional response of Holling Ⅲ is investigated. When the parameters changing, Asymptotic behavior of the origin was discussed by using characteristic equation. Then sufficient conditions were derived from that whether the system equilibriums are global attractors or attractors. And sufficient conditions for the global stability of the unique positive equilibrium are obtained.

关键词： ratio-dependent higher order singular point attractor global asymptotic stability

作者: WeiWei Zheng ErDong Han Lin Xiao

作者单位: school of Science,Xi-an Polytechnic University,Xi an 710048, 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: 1025-1031

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）