کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627115 | 1631800 | 2015 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator–prey model with herd behavior
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator–prey model with herd behavior Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator–prey model with herd behavior](/preview/png/4627115.png)
چکیده انگلیسی
In this paper, we consider a delayed diffusive predator–prey model with herd behavior. Firstly, by choosing the appropriate bifurcation parameter, the stability of the positive equilibria and the existence of Hopf bifurcations, induced by diffusion and delay respectively, are investigated by analyzing the corresponding characteristic equation. Then, applying the normal form theory and the center manifold argument for partial functional differential equations, the formula determining the properties of the Hopf bifurcation are obtained. Furthermore, the instability of the Hopf bifurcation leads to the emergence of spatial patterns. Finally, some numerical simulations are also carried out to illustrate and expand the theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 254, 1 March 2015, Pages 375–391
Journal: Applied Mathematics and Computation - Volume 254, 1 March 2015, Pages 375–391
نویسندگان
Xiaosong Tang, Yongli Song,