Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain.

@article{Li2009ModelingSS,
  title={Modeling spatial spread of infectious diseases with a fixed latent period in a spatially continuous domain.},
  author={Jing Li and Xingfu Zou},
  journal={Bulletin of mathematical biology},
  year={2009},
  volume={71 8},
  pages={2048-79}
}
In this paper, with the assumptions that an infectious disease in a population has a fixed latent period and the latent individuals of the population may diffuse, we formulate an SIR model with a simple demographic structure for the population living in a spatially continuous environment. The model is given by a system of reaction-diffusion equations with a discrete delay accounting for the latency and a spatially non-local term caused by the mobility of the individuals during the latent period… CONTINUE READING
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