Varying total population enhances disease persistence: Qualitative analysis on a diffusive SIS epidemic model☆

@inproceedings{Li2017VaryingTP,
  title={Varying total population enhances disease persistence: Qualitative analysis on a diffusive SIS epidemic model☆},
  author={Huicong Li and Rui Peng and Feng-Bin Wang},
  year={2017}
}
Abstract This paper performs qualitative analysis on an SIS epidemic reaction–diffusion system with a linear source in spatially heterogeneous environment. The main feature of our model lies in that its total population number varies, compared to its counterpart proposed by Allen et al. [2] . The uniform bounds of solutions are derived, based on which, the threshold dynamics in terms of the basic reproduction number is established and the global stability of the unique endemic equilibrium is… CONTINUE READING

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