کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4615333 1339313 2015 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability analysis of a delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Stability analysis of a delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure
چکیده انگلیسی

In this paper, we focus on a delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure, in which the effects of time delay and population exchange between groups are considered. By using a Lyapunov functional approach, we establish that the global stability of the model is completely determined by a threshold parameter R˜0, that is, the disease-free equilibrium of the model is globally asymptotically stable if R˜0≤1, while an endemic equilibrium of the model is such if R˜0>1. Moreover, in the analysis, we offer new techniques to prove the permanence and the existence of the endemic equilibrium of delayed nonlinear multi-group epidemic models. This result shows that the incidence delay and the migration delay do not alter the quality of the disease dynamics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 425, Issue 1, 1 May 2015, Pages 415–439
نویسندگان
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