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Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate

Chun-Hsien Li National Kaohsiung Normal University

Dynamical Systems mathscidoc:1702.11001

Physica A, 427, 2015
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.
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@inproceedings{chun-hsien2015dynamics,
  title={Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate},
  author={Chun-Hsien Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170221095052681637478},
  booktitle={Physica A},
  volume={427},
  year={2015},
}
Chun-Hsien Li. Dynamics of a network-based SIS epidemic model with nonmonotone incidence rate. 2015. Vol. 427. In Physica A. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170221095052681637478.
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