کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7222188 1470395 2017 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Analysis of an age structured HIV infection model with virus-to-cell infection and cell-to-cell transmission
چکیده انگلیسی
Recent studies reveal that cell-to-cell transmission via formation of virological synapses can contribute significantly to virus spread, and hence, may play a more important role than virus-to-cell infection in some situations. Age-structured models can be employed to study the variations w.r.t. infection age in modeling the death rate and virus production rate of infected cells. Considering the above characteristics for within-host dynamics of HIV, in this paper, we formulate an age-structured hybrid model to explore the effects of the two infection modes in viral production and spread. We offer a rigorous analysis for the model, including addressing the relative compactness and persistence of the solution semiflow, and existence of a global attractor. By subtle construction and estimates of Lyapunov functions, we show that the global attractor actually consists of an singleton, being either the infection free steady state if the basic reproduction number is less than one, or the infection steady state if the basic reproduction number is larger than one.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 34, April 2017, Pages 75-96
نویسندگان
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