کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1889385 1043762 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of a viral disease model with saturated contact rate
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Analysis of a viral disease model with saturated contact rate
چکیده انگلیسی
A viral disease model with saturated contact rate is introduced and investigated. The model consists a host species, which is divided into two classes the susceptible and infected, and a virus, which causes a viral disease in the host and as the host induces, the infected releases more virus into the environment. Taking the virus replication rate as the bifurcating parameter, we prove that there exists a threshold value beyond which the endemic equilibrium bifurcates from the free disease one. Further increasing the value, the endemic equilibrium loses its stability, Hopf bifurcation occurs and a periodic solution arises from it. The orbital stability of the periodic orbits is analyzed by applying Poore's condition. In the last, numerical simulation of the model is employed to explain the mathematical results of this paper.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 39, Issue 1, 15 January 2009, Pages 17-27
نویسندگان
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