Stability Analysis of a Kind of Three-Species Food System with Time Delay

摘要：

In this paper, a kind of three-dimensional model of food system including Giant Panda , bambooand arbor with delay is considered. Absolute stability and Hopf bifurcation of the model are studied by usingsystematic analysis method. Sufficient conditions of absolute stability are obtained, it is shown that the delay　τ　is locally harmless. Furthermore, it is proved that the time delay may destabilize the positive equilibrium,and Hopf bifurcation occurs under certain conditions.

关键词： Giant Panda delay differential equations stability Hopf bifurcation

作者: Guohua Song Xiaojing Wang Junqing Li

作者单位: School of Science,Beijing University of Civil Engineering and Architecture,Beijing,100044, China Key Laboratory for Silviculture and Conservation of Ministry of Education, Beijing Forestry Universi

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: 856-862

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）