Dynamics of an SIS reaction-diffusion epidemic model for disease transmission.

@article{Huang2010DynamicsOA,
  title={Dynamics of an SIS reaction-diffusion epidemic model for disease transmission.},
  author={Wenzhang Huang and Maoan Han and Kaiyu Liu},
  journal={Mathematical biosciences and engineering : MBE},
  year={2010},
  volume={7 1},
  pages={51-66}
}
Recently an SIS epidemic reaction-diffusion model with Neumann (or no-flux) boundary condition has been proposed and studied by several authors to understand the dynamics of disease transmission in a spatially heterogeneous environment in which the individuals are subject to a random movement. Many important and interesting properties have been obtained: such as the role of diffusion coefficients in defining the reproductive number; the global stability of disease-free equilibrium; the… CONTINUE READING