Modeling and dynamics of an ecological-economic model  

作　　者：Wei Liu Yaolin Jiang 

机构地区：[1]School of Mathematics and Statistics Xi'an Jiaotong University, XVan 710049, P. R. China [2]School of Mathematics and Computer Science Xinyu University, Xinyu 338004, P- R. China

出　　处：《International Journal of Biomathematics》2019年第3期127-155,共29页生物数学学报（英文版）

摘　　要：In this paper, an eco-economic model with harvesting on biological population is established, which takes the form of a differential-algebra system. The impact of the economic profit from harvesting upon the dynamics of the model is studied. By using a suitable parameterization for the differential-algebra system, we derive an equivalent parameterized system which gives the stability results for the positive equilibrium point of our model. Moreover, based on the parameterized system as well as the approaches of normal form and formal series, the conditions on the Hopf bifurcation and the stability of center are obtained. Several numerical simulations for demonstrating the theoretical results are also presented. Lastly, according to the dynamical analysis, we provide a threshold value for the economic profit, which can maintain the sustainable development of our eco-economic system.

关 键 词：PREDATOR-PREY HARVESTING HOPF BIFURCATION PARAMETERIZATION FORMAL series 

分 类 号：G[文化科学]