کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8877076 1623984 2018 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global asymptotic stability for the SEIRS models with varying total population size
موضوعات مرتبط
علوم زیستی و بیوفناوری علوم کشاورزی و بیولوژیک علوم کشاورزی و بیولوژیک (عمومی)
پیش نمایش صفحه اول مقاله
Global asymptotic stability for the SEIRS models with varying total population size
چکیده انگلیسی
In this paper, SEIRS epidemiological model with disease caused death and varying total population size is discussed. Based on the geometric approach developed by Li and Muldowney, a new criterion to determine the global asymptotic stability for nonlinear system is proposed. By applying this new criterion, global asymptotic stability of the endemic equilibrium when it is unique is proved. The above global result shows that the basic reproduction number is a sharp threshold for SEIRS model which removes restrictions of rate of loss of immunity and rate of disease caused death in Li and Muldowney's result.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical Biosciences - Volume 296, February 2018, Pages 17-25
نویسندگان
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