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《Journal of Ningxia Normal University》 2014-03
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Stability and Hopf Bifurcation Analysis of Eutrophication Model with Time Delay

YANG Jihua;DONG Baiying;School of Mathematics and Computer Science,Ningxia Normal University;  
In this paper,the eutrophication model with time delay is studied. The stability of the equilibrium is discussed by analyzing the characteristic equation for the linearized system of original system at the equilibrium. Then the regions of linear stability of equilibrium are given,it is found that Hopf bifurcation exist when the delay passes through a sequence of critical values. In the end,some numerical simulations are carried out to supportthe the oretical results.
【Fund】: 宁夏自然科学基金资助项目(NZ13213);; 宁夏师范学院创新团队资助项目(zy201207);; 宁夏师范学院科研项目(YB201342 YB201438)
【CateGory Index】: O175
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