Dynamic Complexity of A Discrete Host-Parasitoid Model with Holling II Functional Response and Allee Effect

摘要：

In this paper, we study the dynamic complexity of a discrete-time host-parasitoid model with Holling II functional response and Allee effect. we first obtain the local stability conditions of the fixed points by Jury certerion. We also shown that the system undergo the flip bifurcation by using center manifold and bifurcation theory. Numerical simulations are carried out to verify stabilizing effect of Allee effect and also exhibit the complex dynamic behaviors. Particularly it is shown that the addition of Allee effect has a positive effect impact to the local stability and bifurcation diagram.

关键词： host-parasitoid Allee effect bifurcation diagram dynamic complexity

作者: Yu Zhao ChangSheng Zhai

作者单位: Department of Mathematics and Computer Science,Ningxia Teachers College,Guyuan Ningxia,756000,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: 1478-1484

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）