کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5102568 | 1480087 | 2017 | 32 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence Asymptotic behavior of a stochastic delayed HIV-1 infection model with nonlinear incidence](/preview/png/5102568.png)
چکیده انگلیسی
In this paper, a stochastic delayed HIV-1 infection model with nonlinear incidence is proposed and investigated. First of all, we prove that there is a unique global positive solution as desired in any population dynamics. Then by constructing some suitable Lyapunov functions, we show that if the basic reproduction number R0â¤1, then the solution of the stochastic system oscillates around the infection-free equilibrium E0, while if R0>1, then the solution of the stochastic system fluctuates around the infective equilibrium Eâ. Sufficient conditions of these results are established. Finally, we give some examples and a series of numerical simulations to illustrate the analytical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 486, 15 November 2017, Pages 867-882
Journal: Physica A: Statistical Mechanics and its Applications - Volume 486, 15 November 2017, Pages 867-882
نویسندگان
Qun Liu, Daqing Jiang, Tasawar Hayat, Bashir Ahmad,