کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10677547 1012356 2016 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of an HIV infection model with treatments and delayed immune response
ترجمه فارسی عنوان
تجزیه و تحلیل یک مدل عفونت اچ آی وی با درمان و تاخیر در پاسخ ایمنی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
چکیده انگلیسی
In this paper, we establish and investigate an HIV infection model with treatments and delayed immune response and study its dynamical behaviors. By identifying a critical parameter, we show that if the effectiveness of RT inhibitor and protease inhibitor satisfy some conditions, the uninfected steady state is a unique equilibrium in the feasible region, and the point is globally asymptotically stable. However, if the treatment is not effective enough, then the equilibrium becomes unstable and HIV infection persists. In this case, the other two steady states can be either stable or unstable. By theoretical analyzing, we obtain the results that time delay can affect the stability of the immune-exhausted equilibrium and the infected equilibrium under some conditions. Finally, numerical simulations are carried out to illustrate the main mathematical conclusions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 40, Issue 4, 15 February 2016, Pages 3081-3089
نویسندگان
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