Stability analysis of a three-species food chain model

摘要：

A three-species food chain model was considered. Using the methods of the modern nonlinear dynamics and homotopy analysis, its stability was discussed. Firstly, we got the system’s three population equilibrium point and shifted it to zero point through transformation. Secondly, we analyzed the stability of the system at the equilibrium point. Lastly, we analyzed the transformed system by homotopy analysis method (HAM). We support our analytical findings with numerical simulation.

关键词： three-species food chain model equilibrium point stability Homotopy analysis method

作者: WU Zi-ku LING Ming-ding LE Fu-le

作者单位: School of Science,Qingdao Agricultural University,Qingdao, 266109, China Qindao College,Qingdao Technological University,Qingdao, 266106, 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: 1091-1096

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）