کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4632452 | 1340646 | 2009 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamical behavior of a virus dynamics model with CTL immune response
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, the dynamical behavior of a virus dynamics model with CTL immune response is studied. Sufficient conditions for the asymptotical stability of a disease-free equilibrium, an immune-free equilibrium and an endemic equilibrium are obtained. We prove that there exists a threshold value of the infection rate b beyond which the endemic equilibrium bifurcates from the immune-free one. Still for increasing b values, the endemic equilibrium bifurcates towards a periodic solution. We further analyze the orbital stability of the periodic orbits arising from bifurcation by applying Poore’s condition. Numerical simulation with some hypothetical sets of data has been done to support the analytical findings.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 213, Issue 2, 15 July 2009, Pages 329–347
Journal: Applied Mathematics and Computation - Volume 213, Issue 2, 15 July 2009, Pages 329–347
نویسندگان
Xueyong Zhou, Xiangyun Shi, Zhonghua Zhang, Xinyu Song,