HOPF BIFURCATION IN SINGLE FOOD CHAIN MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

摘要：

The effects of mutual interference(density dependence) among species on the occurring of Hopf bifurcation for three species modeling single food chain are investigated in this paper. First, local and global stability of the half-trivial equilibrium points are presented. Second, we discuss the existence of the positive equilibrium point and prove the existence of Hopf bifurcation which bifurcates from the positive equilibrium point by using Hopf bifurcation theory.

关键词： Food chain model B-D functional response Density dependence Hopf bifurcation

作者: JING LIU YAN MA SHUQIN YANG

作者单位: Department of Mathematics, Dalian Maritime University, Dalian, Liaoning Province, 116026, China

会议类型: 国际会议

会议名称: The Second International Conference on Information & Systems Sciences(ICISS2008)(第二届信息与系统科学国际会议)

会议地点: 大连

会议语种:英文

页码: 73-81

在线出版日期: 2008-12-18（万方平台首次上网日期，不代表论文的发表时间）