کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4630562 | 1340603 | 2011 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates](/preview/png/4630562.png)
چکیده انگلیسی
In this paper, we introduce a basic reproduction number for a multigroup SEIR model with nonlinear incidence of infection and nonlinear removal functions between compartments. Then, we establish that global dynamics are completely determined by the basic reproduction number R0. It shows that, the basic reproduction number R0 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, two numerical examples are also included to illustrate the effectiveness of the proposed result.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 2, 15 September 2011, Pages 280–286
Journal: Applied Mathematics and Computation - Volume 218, Issue 2, 15 September 2011, Pages 280–286
نویسندگان
Ruoyan Sun, Junping Shi,