کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4631651 | 1340626 | 2010 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hopf bifurcation and stability for a differential-algebraic biological economic system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Hopf bifurcation and stability for a differential-algebraic biological economic system Hopf bifurcation and stability for a differential-algebraic biological economic system](/preview/png/4631651.png)
چکیده انگلیسی
In this paper, we analyze the stability and Hopf bifurcation of the biological economic system based on the new normal form and the Hopf bifurcation theorem. The basic model we consider is owed to a ratio-dependent predator–prey system with harvesting, compared with other researches on dynamics of predator–prey population, this system is described by differential-algebraic equations due to economic factor. Here μ as bifurcation parameter, it is found that periodic solutions arise from stable stationary states when the parameter μ increases close to a certain limit. Finally, numerical simulations illustrate the effectiveness of our results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 1, 1 September 2010, Pages 330–338
Journal: Applied Mathematics and Computation - Volume 217, Issue 1, 1 September 2010, Pages 330–338
نویسندگان
Guodong Zhang, Lulu Zhu, Boshan Chen,