کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470499 698501 2013 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hopf bifurcation analysis in a diffusive food-chain model with time delay
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Hopf bifurcation analysis in a diffusive food-chain model with time delay
چکیده انگلیسی

In this paper, we consider the direction and stability of time-delay induced Hopf bifurcation in a three species food-chain model with diffusion. By means of analyzing eigenvalue spectrum and Lyapunov functional, we show that the positive equilibrium is asymptotically stable in the absence of time delay, but loses its stability via the Hopf bifurcation when the time delay increases beyond a threshold. Using the norm form and the center manifold theory, we investigate the stability and direction of the Hopf bifurcation. The instability of the Hopf bifurcation leads to the emergence of spatial patterns. Numerical calculations are performed to illustrate our theoretical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 66, Issue 10, December 2013, Pages 2139–2153
نویسندگان
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