کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630166 1340594 2011 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global stability of delay multigroup epidemic models with group mixing and nonlinear incidence rates
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global stability of delay multigroup epidemic models with group mixing and nonlinear incidence rates
چکیده انگلیسی

In this paper, we present a new delay multigroup SEIR model with group mixing and nonlinear incidence rates and investigate its global stability. We establish that the global dynamics of the models are completely determined by the basic reproduction number R0R0. It is shown that, if R0⩽1R0⩽1, then the disease free equilibrium is globally asymptotically stable and the disease dies out; if R0>1R0>1, there exists a unique endemic equilibrium that is globally asymptotically stable and thus the disease persists in the population. Finally, a numerical example is also discussed to illustrate the effectiveness of the results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 8, 15 December 2011, Pages 4391–4400
نویسندگان
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