کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893024 1044065 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability and Hopf bifurcation in a delayed model for HIV infection of CD4+T cells
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Stability and Hopf bifurcation in a delayed model for HIV infection of CD4+T cells
چکیده انگلیسی

In this paper, we consider a delayed mathematical model for the interactions of HIV infection and CD4+T cells. We first investigate the existence and stability of the Equilibria. We then study the effect of the time delay on the stability of the infected equilibrium. Criteria are given to ensure that the infected equilibrium is asymptotically stable for all delay. Moreover, by applying Nyquist criterion, the length of delay is estimated for which stability continues to hold. Finally by using a delay ττ as a bifurcation parameter, the existence of Hopf bifurcation is also investigated. Numerical simulations are presented to illustrate the analytical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 42, Issue 1, 15 October 2009, Pages 1–11
نویسندگان
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