Stability analysis and bifurcation control of generalized phytoplankton—zooplankton system

摘要：

In this article, a generalized Biological dynamical model of algal blooms is considered. The mathematical model consists of non-toxic phytoplankton, toxin producing phytoplankton, zooplankton with the economic values and harvest effort on zooplankton. In accordance with the knowledge of nonlinear dynamic system theory, differential-algebraic system theory and control theory investigates the stability of the model around the boundary equilibrium points and unique interior equilibrium point, and studies the dynamical behavior of the system near the positive equilibrium point and its control problem. Finally, using MATLAB software, numerical simulation illustrates the accuracy of the results.

关键词： Differential-algebraic system Positive equilibrium point Jacobian matrix

作者: Qingling Zhang Yugen Chang Hong Niu Chao Liu

作者单位: Institute of system science, Northeastern University, Shenyang, China Department of Information and Computational Science, Northeastern University at Qinhuangdao, Qinhuan

会议类型: 国际会议

会议名称: 2011 China Control and Decision Conference(2011中国控制与决策会议 CCDC)

会议地点: 四川绵阳

会议语种:英文

页码: 3197-3201

在线出版日期: 2011-05-23（万方平台首次上网日期，不代表论文的发表时间）