CAJ | 학술논문

研究了一类捕食者-食饵生态经济模型的动力学行为。该模型具有非线性收获率，这使得模型更具一般性。选取经济利润v作为分支参数，通过局部参数化方法，Hopf分支理论和形式级数方法研究了系统的Hopf分支。同时，改进的参数化计算过程更简单，能够处理更复杂的模型。最后，通过MATLAB仿真证明了我们的结果。
연구료일류포식자-식이생태경제모형적동역학행위。해모형구유비선성수획솔，저사득모형경구일반성。선취경제리윤v작위분지삼수，통과국부삼수화방법，Hopf분지이론화형식급수방법연구료계통적Hopf분지。동시，개진적삼수화계산과정경간단，능구처리경복잡적모형。최후，통과MATLAB방진증명료아문적결과。
In this paper , we analyze a biological economic system with harvesting effort on prey .Different from previous re-searchers'models,this model with nonlinear harvesting rate is more general .By employing local parameterization method ,Hopf bifurcation theory and the formal series method ,the Hopf bifurcation of the proposed system is investigated .Here we choose e-conomic revenue as a positive bifurcation parameter .And the improved calculation process of parameterization is much more simple and it can handle more complex models which could not be dealt with by previous algorithms due to extensive calcula -tion.Finally,by MATLAB simulation,the validity and feasibility of obtained results are illustrated .