On the Quasi-Stationary Distribution of SIS Models

نویسندگان

  • Gaofeng Da
  • Maochao Xu
  • Shouhuai Xu
چکیده

In this paper we propose a novel method for constructing upper bounds of the quasi-stationary distribution of SIS processes. Using this method, we obtain an upper bound that is better than the state-of-the-art upper bound. Moreover, we prove that the fixed point map Φ [7] actually preserves the equilibrium reversed hazard rate order under a certain condition. This allows us to further improve the upper bound. Some numerical results are presented to illustrate the results.

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تاریخ انتشار 2015