کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
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758857 | 896454 | 2012 | 10 صفحه PDF | دانلود رایگان |
In this paper, we investigate Hopf bifurcation and center stability of a predator–prey biological economic model. By employing the local parameterization method, Hopf bifurcation theory and the formal series method, we obtain some testable results on these issues. The economic profit is chosen as a positive bifurcation parameter here. It shows that a phenomenon of Hopf bifurcation occurs as the economic profit increases beyond a certain threshold. Besides, we also find that the center of the biological economic model is always unstable. Finally, some numerical simulations are given to illustrate the effectiveness of our results.
► The harvest effort on the ecosystem is considered from an economic perspective.
► The research is based on our local parameterization method.
► The center of the biological economic model is always unstable.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 10, October 2012, Pages 3989–3998