کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6371927 1624011 2015 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Threshold dynamics of a time-delayed SEIRS model with pulse vaccination
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Threshold dynamics of a time-delayed SEIRS model with pulse vaccination
چکیده انگلیسی
In this paper, we consider a delayed SEIRS model with pulse vaccination and varying total population size. The basic reproduction number R0 is derived, and it is shown that the disease-free periodic solution is globally attractive if R0 < 1, while the disease is uniformly persistent when R0 > 1. Our results really improve the results by Gao et al. (2007) [8], where they left the open problem of finding a sharp threshold which determines the eradication and uniform persistence. Numerical simulations are conducted to illustrate the analytical results and explore the influences of pulse vaccination and time delay on the spread of the disease. To the best of our knowledge, it is the first work to have the sharp threshold dynamics for impulsive epidemic models with the delay in the infected compartments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 269, November 2015, Pages 178-185
نویسندگان
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