کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470738 698558 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Global stability of the endemic equilibrium of multigroup SIR models with nonlinear incidence
چکیده انگلیسی

In this paper, we introduce a basic reproduction number for a multigroup epidemic model with nonlinear incidence. Then, we establish that global dynamics are completely determined by the basic reproduction number R0R0. It shows that, the basic reproduction number R0R0 is a global threshold parameter in the sense that if it is less than or equal to one, the disease free equilibrium is globally stable and the disease dies out; whereas if it is larger than one, there is a unique endemic equilibrium which is globally stable and thus the disease persists in the population. Finally, a numerical example is also included to illustrate the effectiveness of the proposed result.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 60, Issue 8, October 2010, Pages 2286–2291
نویسندگان
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