کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4633567 | 1340673 | 2008 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hopf bifurcation and global stability for a delayed predator–prey system with stage structure for predator
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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 global stability for a delayed predator–prey system with stage structure for predator Hopf bifurcation and global stability for a delayed predator–prey system with stage structure for predator](/preview/png/4633567.png)
چکیده انگلیسی
In this paper, a delayed predator–prey system with stage structure for predator is proposed and studied. It is found that the time delay is harmless for permanence of the stage-structured system. If αβ < 1, sufficient conditions which guarantee the global stability of positive equilibrium are given. If αβ > 1, we show that the unique positive equilibrium is locally asymptotically stable when time delay τ∗ is sufficiently small, while loss of stability by a Hopf bifurcation can occur as the delay increases.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 202, Issue 2, 15 August 2008, Pages 721–729
Journal: Applied Mathematics and Computation - Volume 202, Issue 2, 15 August 2008, Pages 721–729
نویسندگان
Shujing Gao, Lansun Chen, Zhidong Teng,