The Analysis and Control for Singular Ecological-Economic Model with Harvesting and Migration
作者: Qingling ZhangHong NiuLichun ZhaoFenglan Bai
作者单位: 1Institute of Systems Science, Northeastern University, Liaoning, Shenyang 110819, China
2Department of Mathematics, Anshan Normal University, Liaoning, Anshan 114007, China
3School of Science, Dalian Jiaotong University, Liaoning, Dalian 116028, China
刊名: Journal of Applied Mathematics, 2012, Vol.2012
来源数据库: Directory of Open Access Journals
DOI: 10.1155/2012/973869
原始语种摘要: To keep the resources renewable, a singular ecological-economic model is proposed for the populations with harvesting and migration. The local stability and the dynamic behavior of the model are studied. Singular induced bifurcation appears when economic interest is zero, which is different from the ordinary differential models. In order to apply variable structure control to eliminate these complex behaviors, the singular model is transformed into a single-input and single-output model with parameter varying within definite intervals. And then, a variable structure controller is designed to make the model stable. Finally, an inshore-offshore fishery model is given to illustrate the proposed method, and some numerical simulations are shown to demonstrate the control results.
全文获取路径: DOAJ  (合作)

  • economic 经济的
  • variable 变量
  • definite 定的
  • Analysis 分析
  • control 控制
  • proposed 建议的
  • model 模型
  • resources 资源
  • dynamic 动力学的
  • renewable 可更新的