کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1705874 1012443 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Three kinds of TVS in a SIR epidemic model with saturated infectious force and vertical transmission
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Three kinds of TVS in a SIR epidemic model with saturated infectious force and vertical transmission
چکیده انگلیسی

Three different vaccination and treatment strategies in the SIR epidemic model with saturated infectious force and vertical transmission are analyzed. The dynamics of epidemic models are globally investigated by using Floquet theory and comparison theorem of impulsive differential equation. Thresholds are identified and global stability results are proved. For every treatment and vaccination strategy, the disease-free periodic solution of impulsive system has been obtained and is found to be globally asymptotically stable when the basic reproduction number is less than one, equivalently the cure rate is larger than the threshold value, whereas the disease is persistent when the basic reproduction number is larger than one. These results indicate that a large cure rate will lead to the eradication of a disease.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematical Modelling - Volume 33, Issue 4, April 2009, Pages 1923–1932
نویسندگان
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