کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1704590 | 1012411 | 2012 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bifurcation analysis of a modified Holling–Tanner predator–prey model with time delay
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Bifurcation analysis of a modified Holling–Tanner predator–prey model with time delay Bifurcation analysis of a modified Holling–Tanner predator–prey model with time delay](/preview/png/1704590.png)
چکیده انگلیسی
In this paper, a modified Holling–Tanner predator–prey model with time delay is considered. By regarding the delay as the bifurcation parameter, the local asymptotic stability of the positive equilibrium is investigated. Meanwhile, we find that the system can also undergo a Hopf bifurcation of nonconstant periodic solution at the positive equilibrium when the delay crosses through a sequence of critical values. In particular, we study the direction of Hopf bifurcation and the stability of bifurcated periodic solutions, an explicit algorithm is given by applying the normal form theory and the center manifold reduction for functional differential equations. Finally, numerical simulations supporting the theoretical analysis are also included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 36, Issue 3, March 2012, Pages 1219–1231
Journal: Applied Mathematical Modelling - Volume 36, Issue 3, March 2012, Pages 1219–1231
نویسندگان
Jia-Fang Zhang,