کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
975007 1480146 2015 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate
چکیده انگلیسی


• A network-based SIS epidemic model with non-monotone incidence rate is proposed.
• A threshold value for the transmission rate is obtained.
• The threshold value determines the dynamics of the proposed model.
• Numerical experiments for a finite scale-free network are presented.
• The effect of the nonlinear incidence on the epidemic dynamics is also considered.

This paper studies the dynamics of a network-based SIS epidemic model with nonmonotone incidence rate. This type of nonlinear incidence can be used to describe the psychological effect of certain diseases spread in a contact network at high infective levels. We first find a threshold value for the transmission rate. This value completely determines the dynamics of the model and interestingly, the threshold is not dependent on the functional form of the nonlinear incidence rate. Furthermore, if the transmission rate is less than or equal to the threshold value, the disease will die out. Otherwise, it will be permanent. Numerical experiments are given to illustrate the theoretical results. We also consider the effect of the nonlinear incidence on the epidemic dynamics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 427, 1 June 2015, Pages 234–243
نویسندگان
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