Stochastic dynamics of dengue epidemics.

@article{deSouza2013StochasticDO,
  title={Stochastic dynamics of dengue epidemics.},
  author={David R de Souza and T{\^a}nia Tom{\'e} and Suani T. R. Pinho and Florisneide Rodrigues Barreto and M{\'a}rio J. de Oliveira},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2013},
  volume={87 1},
  pages={
          012709
        }
}
We use a stochastic Markovian dynamics approach to describe the spreading of vector-transmitted diseases, such as dengue, and the threshold of the disease. The coexistence space is composed of two structures representing the human and mosquito populations. The human population follows a susceptible-infected-recovered (SIR) type dynamics and the mosquito population follows a susceptible-infected-susceptible (SIS) type dynamics. The human infection is caused by infected mosquitoes and vice versa… 

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