Dynamic Analysis and Control in a Differential-algebraic Harmful Phytoplankton Blooms Model

摘要：

A harvested allelopathic two-species phytoplankton ecosystem is investigated by a differential-algebraic model. By using the differential-algebraic system theory and bifurcation theory, local stability of the proposed model around the interior equilibrium is studied. Furthermore, instability mechanism of the proposed model due to variation of economic interest of harvesting is discussed. With the purpose of stabilizing the proposed model around the interior equilibrium and maintaining the economic interest of harvesting at an ideal level, state feedback controllers are designed. Finally, numerical simulations are carried out to show the effectiveness of designed controllers.

关键词： Differential-algebraic model Singularity induced bifurcation Harvest effort Economic interest

作者: Chao Liu Qingling Zhang Wansheng Tang James Huang

作者单位: School of Management, Tianjin University, Tianjin, 300072, P.R.China Department of Information and C Institute of Systems Science, Northeastern University, Shenyang, 110004, P.R.China School of Management, Tianjin University, Tianjin, 300072, P.R.China Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong

会议类型: 国际会议

会议名称: The 22nd China Control and Decision Conference(2010年中国控制与决策会议)

会议地点: 徐州

会议语种:英文

页码: 3725-3730

在线出版日期: 2010-05-26（万方平台首次上网日期，不代表论文的发表时间）