کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631801 1340629 2010 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the Lyapunov stability for SIRS epidemic models with general nonlinear incidence rate
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
On the Lyapunov stability for SIRS epidemic models with general nonlinear incidence rate
چکیده انگلیسی

We study an epidemic model for infections with non permanent acquired immunity (SIRS). The incidence rate is assumed to be a general nonlinear function of the susceptibles and the infectious classes. By using a peculiar Lyapunov function, we obtain necessary and sufficient conditions for the local nonlinear stability of equilibria. Conditions ensuring the global stability are also obtained. Unlike the recent literature on this subject, here no restrictions are required about the monotonicity and concavity of the incidence rate with respect to the infectious class. Among the applications, the noteworthy case of a convex incidence rate is provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 8, 15 December 2010, Pages 4010–4016
نویسندگان
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