A geometric analysis of the SIRS epidemiological model on a homogeneous network

@article{JardonKojakhmetov2020AGA,
  title={A geometric analysis of the SIRS epidemiological model on a homogeneous network},
  author={Hildeberto Jard'on-Kojakhmetov and Christian Kuehn and Andrea Pugliese and Mattia Sensi},
  journal={Journal of Mathematical Biology},
  year={2020},
  volume={83}
}
We study a fast–slow version of an SIRS epidemiological model on homogeneous graphs, obtained through the application of the moment closure method. We use GSPT to study the model, taking into account that the infection period is much shorter than the average duration of immunity. We show that the dynamics occurs through a sequence of fast and slow flows, that can be described through 2-dimensional maps that, under some assumptions, can be approximated as 1-dimensional maps. Using this method… 
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