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Dynamics of a competing two-strain SIS epidemic model on complex networks with a saturating incidence rate

Chun-Hsien Li National Kaohsiung Normal University

Dynamical Systems mathscidoc:1702.11002

Journal of Physics A: Mathematical and Theoretical, 49, 2016
This paper studies a two-strain SIS epidemic model with a competing mechanism and a saturating incidence rate on complex networks. This type of incidence rate could be used to reflect the crowding effect of the infective individuals. We first obtain the associated reproduction numbers for each of the two strains which determine the existence of the boundary equilibria. Stability of the disease-free and boundary equilibria are further examined. Besides, we also show that the two competing strains can coexist under certain conditions. Interestingly, the saturating incidence rate can have specific effects on not only the stability of the boundary equilibria, but also the existence of the coexistence equilibrium. Numerical simulations are presented to support the theoretical results.
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@inproceedings{chun-hsien2016dynamics,
  title={Dynamics of a competing two-strain SIS epidemic model on complex networks with a saturating incidence rate},
  author={Chun-Hsien Li},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170221095324664707479},
  booktitle={Journal of Physics A: Mathematical and Theoretical},
  volume={49},
  year={2016},
}
Chun-Hsien Li. Dynamics of a competing two-strain SIS epidemic model on complex networks with a saturating incidence rate. 2016. Vol. 49. In Journal of Physics A: Mathematical and Theoretical. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170221095324664707479.
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